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The stretched flow with heat transfer has pivotal role in geothermal energy system, oil extraction, continuous casting, metal spinning and electronic cooling. Owing to this fact, the current analysis focuses on non-linear thermal radiation effect in bio-convective stagnation point flow by a stretchable wedge. Darcy relation is used to discuss the porous space. Convective conditions are deliberated. Non-uniform heat source is addressed. Soret and Dufour outcomes are analyzed. Dissipation and magnetohydrodynamics are discussed. Presence of gyrotactic microorganisms along with chemical reaction is considered. Related non-linear partial differential equations (PDEs) are reduced into dimensionless ordinary differential equations (ODEs) through adequate transformations. Optimal homotopy analysis method (OHAM) is adopted for the computations of related nonlinear differential systems. Flow, microorganism field, concentration and temperature distribution are graphically explored. Numerical analysis for coefficient of skin friction, microorganism density number and Sherwood and Nusselt numbers against emerging parameters are discussed. It is noted that velocity and skin friction coefficient have similar scenario for modified Hartman number. Thermal transport rate and temperature have reverse trends for non-uniform heat source variable. An augmentation in thermal distribution is seen through thermal Biot number. Larger Dufour number has increasing trend for temperature. An increasing trend for solutal Biot number for concentration is noticed. Larger Soret number leads to concentration enhancement. Microorganism field and motile density number against Peclet number have opposite response. There is reduction for bio-convective Lewis number in motile density number. [ABSTRACT FROM AUTHOR]

Present work is concerned with hydromagnetic bioconvective chemically reactive flow of Reiner-Rivlin nanoliquid. Analysis is constructed for entropy generation. Thermal relation consists of Joule heating, radiation and dissipation. Soret effect for chemically reactive flow is examined. Nonlinear governing systems after adequate transformations are solved by ND-solve technique. Graphical analysis for velocity, microorganism field, entropy rate, thermal field and concentration is analyzed. Graphical description for coefficient of skin friction, microorganism density number, heat transport rate and concentration gradient are studied. Entropy rate increase is detected for higher magnetic parameter while reverse trend holds for velocity. Clearly temperature augments against thermophoresis and radiation. Radiation intensifies entropy rate and heat transport rate. Similar impact of drag force and temperature for magnetic parameter is noticed. Concentration and mass transport rate rise against higher Soret number. Brownian motion variation results in concentration decays. Large Peclet number leads to decrease of microorganism field whereas it intensifies the microorganism density number. [ABSTRACT FROM AUTHOR]

Entropy generated in magnetohydrodynamic flow by a porous surface is an examined porous medium through the Darcy–Forchheimer relation is discussed. A thermal expression consists of dissipation, heat generation, Joule heating, and radiation. A first-order chemical reaction is studied. By using appropriate variables, the nonlinear systems are transformed into dimensionless differential systems. The finite-difference technique is employed for the development of computational results. Significant performance of thermal field, velocity, entropy rate, and concentration versus physical parameters are presented graphically. A decrease in velocity is noted for the Forchheimer number and porosity parameter. The behavior of concentration and thermal field is similar to the suction variable. The opposite trend holds for velocity and thermal field for the Hartman number. A larger estimation of radiation parameter and Brinkman number correspond to entropy generation enhancement. [ABSTRACT FROM AUTHOR]

The objective of this paper is to discuss the entropy generation in electromagnetohydrodynamic (EMHD) Darcy–Forchheimer nanomaterial flow. Porous space by Darcy–Forchheimer relation is characterized. Thermal expression comprises of radiation, heat generation, electric and magnetic fields and dissipation. Buongiorno model (thermophoresis and random motions) for nanomaterial is taken. Features of entropy generation are addressed. Furthermore, cubic autocatalysis isothermal chemical reactions are studied. Newton built in-shooting technique is implemented for the solution of nonlinear differential system invoking appropriate transformation. Influence for emerging parameters on velocity, concentration, entropy rate and thermal field is graphically addressed. Velocity has similar behaviors for magnetic and electric field variables. Larger approximation of Eckert number boosts up temperatures while reverse trend holds for Prandtl number. Concentration has reverse impact for random and thermophoresis parameters. Entropy generation follows a similar pattern for Brinkman number and porosity parameter. [ABSTRACT FROM AUTHOR]

Background and objective. Flow due to the Darcy-Forchheimer medium is an important perspective in various geophysics, industrial processes, geothermal energy, and thermodynamic processes. The importance of the Darcy-Forchheimer medium is noticed in technical, mechanical, industrial, and scientific fields including atomic waste archive, artificial dialysis, catalytic converters, gas turbine, improved oil recuperation, atherosclerosis, grain stockpiling, geo-energy production, and warm protection designing, etc. In view of such industrial and geothermal applications, the objective of this paper is to highlight the influence of entropy generation in chemical reactive MHD (magnetohydrodynamic) Darcy-Forchheimer nanoliquid flow with radiation. Flow by an exponentially stretching permeable sheet is taken. Thermal radiation, heat source, magnetic force, and dissipation impacts are considered in thermal expression. Additionally, Buongiorno's model with random and thermophoresis diffusions is explained. Physical features of entropy are deliberated. The first-order isothermal reaction is discussed. Methodology. Non-linear expressions are reduced to the dimensionless non-linear system through the implementation of non-similar transformations. The resultant non-linear systems are solved subject to local non-similarity via the ND-solve technique. Results. Graphical results for entropy rate, concentration, velocity, and thermal field versus emerging variables are studied. The reverse trend holds for entropy and velocity through the magnetic variable. A larger approximation of the Eckert number intensifies the thermal field. Conclusions.A higher Forchheimer number reduces the fluid flow.A reverse impact for concentration and thermal field is seen through randommotion variable. Similar behavior for thermal distribution is seen by thermophoresis and radiation effects. A larger porosity variable declines the entropy rate, while the reverse effect holds for the Brinkman number. A larger diffusion variable increases the entropy generation. [ABSTRACT FROM AUTHOR]

Here, our main aim is to examine the impacts of Dufour and Soret in a radiative Darcy–Forchheimer flow. Ohmic heating and the dissipative features are outlined. The characteristics of the thermo-diffusion and diffusion-thermo effects are addressed. A binary chemical reaction is deliberated. To examine the thermodynamical system performance, we discuss entropy generation. A non-linear differential system is computed by the finite difference technique. Variations in the velocity, concentration, thermal field and entropy rate for the emerging parameters are scrutinized. A decay in velocity is observed for the Forchheimer number. Higher estimation of the magnetic number has the opposite influence for the velocity and temperature. The velocity, concentration and thermal field have a similar effect on the suction variable. The temperature against the Dufour number is augmented. A decay in the concentration is found against the Soret number. A similar trend holds for the entropy rate through the radiation and diffusion variables. An augmentation in the entropy rate is observed for the diffusion variable. [ABSTRACT FROM AUTHOR]

Here we scrutinize magnetohydrodynamic mixed convection flow of viscous nanoliquid by a stretching cylinder. Heat flux, Joule heating and dissipation effect are examined in heat equation. Thermophoresis and Brownian diffusion behaviors are accounted. Entropy generation investigation is addressed. A first order chemical reaction is also accounted. Nonlinear PDEs are converted to ordinary differential system employing similarity variables. To develop a convergent solution we implemented ND-solve method. Variation of various sundry variables on Bejan number, velocity, entropy rate, concentration and temperature are graphically deliberated. Variation of various influential variables on Nusselt and Sherwood numbers are graphically examined. Larger slip parameter reduces the velocity field. Temperature is improved against the larger radiation variable. Concentration has a reverse trend against thermophoresis and Brownian motion variables. Radiation and magnetic variables have similar behavior on entropy optimization. Bejan number is reduced versus larger Brinkman number. [ABSTRACT FROM AUTHOR]

Correction about some typo mistakes in entropy generation Eq. (16) and typographical mistakes in definition of non-dimensionless parameters of study [1] have been noted respectively. Pointwise modifications are suggested in this corrigendum. [ABSTRACT FROM AUTHOR]

[Display omitted] • MHD Reiner-Rivlin liquid is examined. • Soret and Dufour impacts are taken. • Ohmic heating in entropy generation is addressed. Entropy production is novel prospective in many thermodynamic phenomena with applications in heat polymer processing optimization. Importance of entropy optimization is noticed in heat exchangers, combustion, thermal systems, nuclear reactions, turbine systems, porous media and many others. Entropy optimization is employed thermal energy measurement in thermodynamical system. Entropy generation rate is used to amplify thermodynamical system performances. Therefore the objective here is to discuss entropy generation in MHD Reiner-Rivlin fluid flow subject to stretching sheet with viscous dissipation, Ohmic heating and radiation features. Characteristics features of thermal-diffusion and diffusion-thermal are addressed. First order chemical reaction has been studied. Impact of entropy rate is addressed. Non-linear dimensionless expressions are obtained through implementation of suitable transformations. Newton built in-shooting technique is implemented for computations. Variation of velocity, concentration, thermal field and entropy generation against pertinent parameters have been studied. Computational outcomes of Nusselt and Sherwood numbers for emerging parameters are scrutinized. Velocity decay against magnetic variable occurs. However reverse impact holds for entropy generation. Higher Reiner-Rivlin fluid parameter leads to amplify fluid flows. Higher estimation of magnetic variable has similar influence for temperature and thermal transport rate. Entropy rate and thermal distribution have similar impacts for radiation parameter. Decay in temperature is observed for Prandtl number. A similar trend holds for drag force and entropy rate through magnetic parameter. Entropy generation versus diffusion variable is augmented. Enhancement in concentration and mass transport rate is seen for Soret number. Concentration decay is observed for Schmidt number while reverse influence holds for Sherwood number. [ABSTRACT FROM AUTHOR]

The implication of entropy analysis is noticed in various processes like cooling system, heat exchangers, thermal systems, thermal power plants, combustion, porous media, turbine systems and nuclear reactions etc. In view of such thermal applications, the theme of this paper is to analyze the entropy optimization in chemical reactive flow of Darcy-Forchheimer viscous liquid with Lorentz force by a stretched bended sheet. Energy equation is developed through thermodynamics first law with radiation, magnetic field, heat generation and dissipation. Entropy is calculated through second law of thermodynamics. Furthermore, chemical reaction is addressed. Here heat transport phenomena for both prescribed surface temperature (PHF) and prescribed heat flux (PST) types are discussed. The proposed systems are modeled in a curvilinear coordinate. Nonlinear dimensionless systems are obtained through implementation of suitable variables. The proposed systems are solved for convergent solution through numerical approach (ND-solve method). Significant effect of entropy generation, fluid flow, concentration, thermal filed and Bejan number against influential variables are studied. Computational analysis of skin friction and thermal transport rate via flow variables are discussed. Here heat transport rate for both (PHF) and (PST) cases are studied. A reverse scenario is seen for fluid flow and thermal field through Hartman number. A decrement in fluid flow is noticed for porosity variable. A similar impact holds for entropy rate and thermal field through radiation effect. An intensification in curvature variable improves both fluid flow and concentration. A reverse trend for Bejan number and thermal field is seen through Brinkman number. Reduction occurs in concentration with higher Schmidt number. An amplification in drag force is observed for Hartman number, while reverse effect holds for curvature variable. An intensification in porosity variable rises both entropy and Bejan numbers. Higher approximation of curvature parameter reduces thermal transport rate for prescribed surface temperature (PHF) while reverse trend holds for prescribed heat flux (PST). • Darcy-Forchheimer viscous liquid flow by a curved stretching surface is scrutinized. • Heat source/sink, Joule heating and dissipation effect are discussed in energy equation. • Physical feature of irreversibility exploration is addressed. [ABSTRACT FROM AUTHOR]

Melting effect in flow of third grade nanomaterials by a Riga surface is examined. Flow is created due to stretched surface. Thermal transportation characteristics are developed through heat source/sink and thermal radiation. Furthermore thermophoresis and random diffusion performances are also deliberated. Irreversibility analysis is addressed through thermodynamics second law. Second law thermodynamics allow us to recognize how well an isolated closed system performs in terms of the quality of the energy. Isothermal cubic autocatalysis chemical reactions are scrutinized at catalytic surface. Adequate transformations are employed to develop nonlinear set of ordinary differential system. Optimal homotopy analysis technique (OHAM) is utilized to construct convergent solution. Influences of several sundry variables for velocity field, temperature distribution, entropy optimization and concentration distribution are graphically examined. An opposite scenario is observed for temperature and velocity through melting parameter. Concentration and temperature have reverse trends against thermophoresis variable. A similar scenario is seen for entropy generation against radiation and melting parameters. [ABSTRACT FROM AUTHOR]

Numerical approach is implemented for irreversibility analysis of second grade nanomaterials flow with slip and Lorentz force effects. Joule heating and radiation effects are present in heat expression. Thermophoresis and random motion characteristics are incorporated. Entropy analysis is studied through thermodynamics second law. The governing partial systems are transmitted into ordinary systems by appropriate variables. The resultant ordinary systems are solved through numerical scheme (Newton built in-shooting method). Here our main theme is to address heat transportation and irreversibility (entropy generation) analyses. Graphical illustrations analyze the variation in flow, entropy rate, thermal field and concentration descriptions influenced by important dimensionless variables. An increment in velocity field is noticed versus magnetic variable. An amplification in curvature variable improves thermal field and velocity. An intensification in radiation effect corresponds to augments the entropy and thermal distribution. An opposite trend holds for thermal and concentration distributions through random motion variable. A reduction occurs in entropy analysis with variation in slip variable. [ABSTRACT FROM AUTHOR]

[Display omitted] • MHD forced convective flow of time dependent viscous material bounded by a porous stretchable surface is scrutinized. • Thermal radiation and Joule heating are considered. • Characteristics of entropy optimization with first order chemical reaction are discussed. • Diffusion-thermo and thermo-diffusion effect are discussed. Numerical simulation in radiative flow of mixed convection laminar fluid with entropy generation by a porous stretched surface is analyzed. Energy expression for Joule heating, dissipation and thermal flux is addressed. Vital characteristics of diffusion-thermo and thermo diffusion are also studied. Irreversibility communication is develop through thermodynamic second law. Entropy optimization is calculated. Chemical reaction is also deliberated. Nonlinear PDEs are changed to ordinary differential equations through similarity variables. Optimal homotopy analysis technique is instigated to construct the convergent solution. Salient characteristics of involved variables for entropy optimization, temperature, velocity, concentration and Bejan number are deliberated. Velocity gradient, heat transfer rate and Sherwood number are addressed. For larger suction parameter the velocity increases. Velocity raises for higher estimation of porosity parameter. An increment occurs in temperature against Dufour number. For rising values of radiation parameter the temperature upsurges. Higher Soret number leads to the concentration decay. Both entropy rate and Bejan number are augmented for radiation effect. Velocity gradient enhances for larger magnetic and porosity parameters. Nusselt number is improved via radiation parameter and Brinkman number. [ABSTRACT FROM AUTHOR]

Melting phenomenon of PCMs (phase change materials) is mostly complemented with resilient variation in density of thermal heat. Thermal energy created from numerous sources can be stored in form of latent heat combination throughout melting process of a phase change materials. Thermal energy can be unconfined during the solidification processes. MPCS (microencapsulated phase change slurry) has noteworthy advantages particularly in high energy density and narrow temperature range for various heat energy application. Melting heat transportation has attracted the consideration of scientists and engineers due to its tremendous applications of technological, solidification, casting and industrial processes. A variety of phase change materials with low cost are commercially accessible and do significant work in different circumstances of temperature. Main motivation here is to investigate irreversibility in MHD convection flow of viscous liquid with melting effect over a stretched surface. Slip condition and Lorentz force behaviors are accounted. Energy expression is developed through dissipation, heat radiation and Joule heating. Irreversibility exploration is modeled through second law of thermodynamics. Brownian diffusion and thermophoresis are taken. First order chemical reaction is deliberated. Nonlinear expressions are reduced to ordinary one employing transformation. The obtained systems are solved for the convergent solutions through ND-solve method. Variation of velocity field, entropy rate, temperature, Bejan number and concentration distribution are scrutinized. Velocity filed rises versus higher melting variable. Larger melting parameter decreases the temperature distribution. Concentration and temperature have similar effects against thermophoresis variable. Bejan number and entropy rate have opposite outcome via melting parameter. Higher radiation parameter reduces the entropy rate. For higher radiation both entropy rate and Bejan number have same effect. Main observations are concluded. • Magnetohydrodynamic flow of nanomaterials over a stretchable surface is addressed. • Melting heat effect is discussed. • Dissipation, heat flux and Joule heating effect are scrutinized in energy equation. • Thermophoresis and Brownian motion are scrutinized. • Entropy generation is scrutinized. [ABSTRACT FROM AUTHOR]

Here we disclose the hydrothermal characteristics of nanofluids transportation by a curved stretching surface. The curve sheet is assumed to stretch in a circular shape. Energy communication is developed by employing thermodynamic first law. Thermal radiation, Joule heating, and dissipation are addressed. Passive and active controls of nanoparticles at surface subject to thermophoresis and Brownian diffusion are incorporated. The nanoparticles are immersed in a base solution of water (liquid Di-Hydrogen Mono-Oxide) to scrutinize the thermal and solutal diffusion. The physical feature of irreversibility exploration is addressed. Furthermore, the first-order chemical reaction is examined. Suitable transformations reduces PDEs into the ordinary differential systems. Newton built-in shooting technique is used to construct the convergent solution. Noticeable behaviors of influential parameters on velocity, concentration, entropy rate and temperature are studied graphically. Surface drag force and mass and heat transfer rates are numerically computed versus several variables through tables. Velocity and temperature are augmented against the curvature parameter. Brownian diffusion and thermophoresis parameters have increasing behavior on temperature. An increment in radiation parameter enhances the entropy rate. Entropy optimization is augmented versus larger approximation of curvature parameter. [ABSTRACT FROM AUTHOR]

• Mixed convective unsteady MHD chemically reactive flow of viscous liquids over a rotating cone is considered. • The energy equation is modeled subject to heat generation/absorption, viscous dissipation and Joule heating. • Irreversibility analysis with thermo-diffusion (Soret) effect and binary chemical reaction are considered. • The entropy optimization rate is computed with the help of thermodynamics second law. Here we investigate the mixed convective unsteady magnetohydrodynamics chemically reactive flow of viscous liquid over a rotating cone. Energy attribution are deliberated in the presence of heat generation/absorption, viscous dissipation and Joule heating. Furthermore Irreversibility analysis with thermo-diffusion (Soret) effect and binary chemical reaction are also considered. Entropy optimization rate is computed with the help of thermodynamics second law. The partial differential expression are reduced to ordinary system by using the suitable transformation. Here we have employed Newton built in shooting technique to get computational results for proposed nonlinear system. Influences of different interesting parameters on entropy optimization, velocity, Bejan number, concentration and temperature are discussed through graphs. The computational results of skin friction coefficient, gradient of temperature and Sherwood number are examined against different flow parameters through tables. From obtained outcome it is noticed that velocity and temperature have opposite behaviors for magnetic parameter and unsteadiness parameter. Concentration shows the opposite effect for Soret number and unsteadiness parameter. Bejan number and entropy generation rate hold opposite via larger Brinkman number, while have similar impact of temperature difference parameters. The assertion of recent work is established by comparison with previous published literature are discussed in tabulated form and found an excellent agreement. [ABSTRACT FROM AUTHOR]

• Entropy optimization in Darcy-Forchheimer hybrid nanofluid flow is discussed. • Flow is caused due to stretching of surface. • Energy equation is discussed through heat generation/absorption, viscous dissipation and heat flux. • Molybdenum disulfide and silicon dioxide nanoparticles are considered. The aim of this articles is to investigate the entropy optimization in Darcy-Forchheimer hybrid nanofluids flow towards a stretchable surface. The flow is caused due to stretching of surface. Energy equation is discussed through heat generation/absorption, viscous dissipation and heat flux. Here molybdenum disulfide and silicon dioxide are considered as a nanoparticles and water as continuous phase fluid. Furthermore we examined the comparative analysis of molybdenum disulfide (MoS 2) and silicon dioxide (Si O 2) suspended in water (H 2 O). Entropy optimization rate is calculated through implementation of second law of thermodynamics. Nonlinear partial differential equations are reduced to ordinary system through adequate transformation. Here we have employed numerical built in ND solve method to develop numerical outcomes for obtained nonlinear flow expression. Characteristics of various engineering parameters on entropy optimization, velocity, Bejan number and temperature are graphically examined for both molybdenum disulfide and silicon dioxide. Skin friction coefficient and Nusselt number are numerically computed for various interesting parameters for both nanoparticles (Si O 2 and MoS 2). From obtained results it is noted that entropy optimization enhances against larger estimation of radiation and porosity parameters. Temperature and velocity have opposite behaviors for porosity parameter. Comparative study of present and with previous published literature are examined in tabulated form and found good agreement. [ABSTRACT FROM AUTHOR]

• Entropy optimization is discussed in flow of viscous materials. • Total entropy rate is calculated through second law of thermodynamics. • Two different types of nanomaterials are used as nanoparticles. • Water is considered as a continuous phase liquid. Nanomaterials have higher inspiration in the growth of pioneering heat transportation fluids and good efforts were made in this field during the recent year. Nowadays numerous scientists and researchers have focused their struggle on nanomaterials study. Nanoliquids have advanced properties which make them efficient in various applications including engine cooling, hybrid-power engine, pharmaceutical processes, refrigerator and vehicle thermal management etc. Therefore such implication in mind the entropy optimization in magnetohydrodynamic nanomaterials (TiO 2 − GO) flow between two stretchable rotating disks is discussed here. Energy expression subject to Joule heating, thermal radiation and viscous dissipation is modeled. Entropy optimization rate is based upon thermodynamic second law. Here titanium dioxide (TiO 2) and graphene oxide (GO) and water (H 2 O) are used as nanoliquids. Homogeneous and heterogeneous reactions have been accounted. Transformation process reduced nonlinear PDE's to ordinary differential systems. Formulated systems are solved due to implementation of Newton built in shooting method. Salient behavior of influential variables on velocity, entropy optimization, temperature, Bejan number and concentration graphically illustrated for (TiO 2 and GO). Surface drag force and gradient of temperature ((C f 1 , C f 2) and (Nu x 1 , Nu x 2)) are numerically computed for various interesting parameters at lower and upper disks respectively. Axial and radial velocities components boost up for larger (Re) but opposite is hold for tangential velocity. Entropy optimization and temperature are increased for higher Brinkman number (Br). A significant augmentation occurs in radial and axial velocities (f ′(ξ) and f (ξ)) versus stretching parameter, while opposite is hold for tangential velocity (g (ξ)). For larger values of Reynold and Brinkman numbers the temperature increases. Temperature and entropy optimization have opposite effect for radiation parameter. Concentration has similar results for Reynold and Schmidt numbers. Entropy optimization and Bejan number for radiation parameter have similar outcome. Bejan number decays for Brinkman number. [ABSTRACT FROM AUTHOR]

• Entropy analysis in magnetized flow of hybrid nanomaterial is addressed. • Induced magnetic field is considered. • Radiation, heat generation and viscous dissipation are considered. • Tantalum (Ta) and nickel (Ni) are considered as nanoparticles. • Kerosene oil is used as base liquid. Nanotechnology has significance in crack-resistance paint, engine cooling, enhance-oil recovery, nuclear reactor cooling, drug delivery, microelectronics, production of paper, thermal power plants etc. Here stagnation point flow of hybrid (Ta + N i / K e r o s e n e oil) nanoliquid subject to entropy optimization is addressed. Tantalum (Ta) and nickel (Ni) nanoparticles in base liquid (Kerosene oil) are accounted. Induced magnetic field characteristics are considered. Dissipation, heat generation and radiation have been examined. Adequate transformations lead to development of ODEs from PDEs. The resultant non-dimensional systems are numerically computed through ND-solve method. Thermal transport rate and coefficient of skin friction under influence of sundry variables for hybrid (Ta + N i / K e r o s e n e oil) nanomaterial and nanoliquid (Ta / K e r o s e n e oil) are numerically explored. The consequences of influential variables (magnetic variable, radiation variable, Prandtl number, Eckert number, heat generation variable, stretching ratio variable, Darcy number and reciprocal magnetic Prandtl number) on liquid flow, induced magnetic field, temperature and entropy rate for hybrid (Ta + N i / K e r o s e n e oil) nanomaterial and nanoliquid (Ta / K e r o s e n e oil) are graphically analyzed. Clearly there is decay of velocity for magnetic field. Induced magnetic field increases through higher magnetic variable. Higher radiation variable corresponds to intensify the temperature and entropy rate. Thermal field rises against solid volume fraction. Drag force by higher Darcy number is decreased. Magnetic Prandtl number yields decay in skin friction. Thermal transport rate through heat generation and radiation is enhanced. [ABSTRACT FROM AUTHOR]

• Here we have discussed MHD squeezed flow between two plates. • The upper plate squeezed towards the lower plates. • Energy equation is modeled subject to dissipation and Joule heating. • Entropy rate is calculated through the dynamics law. Nanomaterials have advanced behaviors that make them possibly beneficial in various applications in mass and heat transports such as engine cooling, pharmaceutical processes, fuel cells, engine cooling and domestic refrigerator etc. Therefore here we deliberated the entropy generation in unsteady magnetohydrodynamic squeezing flow of viscous nanomaterials between two parallel plates. The upper plate is squeezing towards lower plate. The lower plate exhibits porous character. Energy attributes are discussed through heat flux, dissipation and Joule heating. Furthermore the irreversibility analysis with cubic autocatalysis chemical reaction is also accounted. Nonlinear differential systems are converted to ordinary differential system by transformations. For convergent series solution the given system are solved by homotopy analysis method (HAM). Characteristics of various interesting variables on velocity, Bejan number, concentration, entropy optimization and temperature are deliberated through graphs. Gradient of velocity (C fx) and Nusselt number (Nu x) are numerically computed against various physical variables. Entropy generation and Bejan number both quantitatively enhance versus radiation parameter. For larger squeezing parameter the velocity and temperature field are increased. The obtained results show that for larger squeezing parameter the velocity field boosts up. Velocity have opposite impact For larger magnetic and porosity parameters. Temperature is decreased for higher values of radiation parameter and Prandtl number. Temperature and concentration have same outcome for thermophoresis parameter. Entropy generation and Bejan number both quantitatively enhance versus radiation parameter, while reverse is hold for Brinkman number. [ABSTRACT FROM AUTHOR]