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This corrigendum addresses some typographical mistakes and errors in published article "Significance of entropy generation and the Coriolis force on the three-dimensional non-Darcy flow of ethylene-glycol conveying carbon nanotubes (SWCNTs and MWCNTs)". Corrections about some typographical errors and plots of g η satisfying ambient condition in study (I. Ullah, T. Hayat, A. Aziz, and A. Alsaedi, "Significance of entropy generation and the coriolis force on the three-dimensional non-Darcy flow of ethylene-glycol conveying carbon nanotubes (SWCNTs and MWCNTs)," J. Non-Equilibrium Thermodyn., vol. 47, pp. 61–75, 2022) are presented here. [ABSTRACT FROM AUTHOR]

This research article addresses entropy generation in the radiative flow of nanoliquid by considering activation energy and rotating frame. Impacts of viscous dissipation, porous medium, and velocity slip condition are considered for the current analysis. Buongiorno's model is implemented for nanoliquid transport phenomena. The nonlinear ordinary differential system is developed through transformations. The reduced nonlinear ODEs have been handled with the assistance of BVP4c. Graphs are established to explore the influences of several sundry variables on velocities, nano-concentration, entropy generation, temperature, surface drag coefficients, heat transfer rate, Bejan number, and mass transfer rate. Our main findings indicate that temperature increases against the higher values of a rotation parameter, while an opposite trend is seen in concentration. Another important finding is that entropy generation decreases against the growing values of a porosity parameter. The problem under discussion has significant applications in the food industry and relevance to energy systems, modern technologies of aerospace systems, and biomedical engineering. Nowadays, nanofluid flow problems in a rotating frame have gained immense attention among the research community due to their tremendous applications in technological and industrial sectors. A comparative analysis of current computations with the prevailing literature revealed a remarkable agreement. [ABSTRACT FROM AUTHOR]

Studies associated with ethylene glycol (EG) have great significance in various engineering sectors because EG is more useful as a cooling agent in various engines. Furthermore, fluid inspection using two distinct nanoparticles has applications in mechanical systems, electronic devices, medical apparatus, and the diagnosis and treatment of disease. Therefore, present comminution explored the entropy production in magnetized hybrid nanomaterials flowing via Darcy–Forchheimer space with varying permeability. Hybrid nano liquid is synthesized by adding cobalt ferrite and gold nanoparticles to ethylene glycol and water. Effects of thermal radiation, Joule heating, heat sources, and an exponential heat source are considered in the energy expression. The assumed problem is modeled in the form of nonlinear PDEs. Such types of problems have mostly occurred in symmetrical phenomena and are applicable in engineering, physics, and applied mathematics. The obtained system is converted to ODEs using suitable substitution transformations. Resultant ODEs are numerically computed with the help of the NDSolve technique using Mathematica software. Their outcomes are displayed through figures and tables. Obtained results reveal that variable permeability and curvature parameters improve the velocity profile, while an exponential heat source (EHS) enhances the thermal effect. It is also observed that entropy optimization improves with the increment in magnetic parameter. [ABSTRACT FROM AUTHOR]

A fluid's moving class improves its heat transmission capability, as well as its rigidity, owing to multivariate molecule suspension. In this way, nanofluids are superior to common fluids. In this study, we evaluated the features of ease and heat transfer. Furthermore, we investigated permeable media, heat source, variable heat conductivity, and warm irradiation results. A mathematical technique known as the Galerkin finite element (G-FEM) approach was used to solve the supervising conditions. Third-grade nanofluid (TGNF), which consists of two types of nanoparticles (NPs), single-walled carbon nanotubes (SWCNT), and multi-walled carbon nanotubes (MWCNTs) distributed in a base liquid of carboxymethyl cellulose (CMC) water, was used for this examination. The main conclusion of this study is that MWCNT-CMC nanofluid has a higher heat transfer velocity than SWCNT-CMC nanofluid. The entropy of the framework can be increased by adjusting the thermal conductivity. Additionally, we found that increasing the main volume section decreases the speed but increases the dispersion of atomic energy. In order to separately account for the development properties of inertial forces and shallow heat dispersion forces, Reynolds and Brinkman values can be used to accelerate the entropy rate of the heating framework. [ABSTRACT FROM AUTHOR]

Heat transportation advancement in liquid is a crucial work which can be easily obtained via utilization of hybrid nanoparticles. Therefore, main concern of the current article is to address the entropy aspects in Dracy-Forchheimer flow of hybrid nanomaterials (kerosene oil, SWCNT and MWCNT). The novel features of Xue's which is modified and implemented for flow physical empirical relations (thermal conductivity, density and specific heat). Furthermore, entropy concept is utilized to estimate the frame of analysis disorderness. The transformed expressions have been computed through numerical scheme after conversion to ODEs by dimensionless variables. Graphical illustrations and tables are made to investigate the effects of noteworthy embedding variables on various distributions. Moreover, detailed analysis for temperature and velocity gradients against pertinent parameters at the surface is provided. Obtained findings reflect that temperature upgraded for both nanoliquid and hybrid nanoliquid by rising Eckert number and heat source parameter, whereas an opposite features is pointed out for gradient of temperature. It is also perceived that skin friction escalates for inertia coefficient, rotation parameter and porosity parameter. There is remarkable increase for SWCNT-MWCNT/kerosene oil hybrid nanofluid when compared with SWCNT/kerosene oil nanoliquid. Overall, hybrid nano phase has an incredible effect in comparison to nanomaterials. [ABSTRACT FROM AUTHOR]

Moreover, HT ht is less in the case of SWCNTs than MWCNTs. We summarize our main findings here: - Higher , and HT ht lead to decay of the liquid velocities for both CNTs. [Extracted from the article]

Our intention in this article is to investigate entropy optimization in nonlinear mixed convective unsteady magnetohydrodynamic flow of nanomaterials in porous space. An exponentially stretched sheet creates the liquid flow. Nanomaterial is considered electrically conducting. The concentration and energy expressions comprise viscous dissipation, Joule heating, thermophoresis and Brownian motion aspects. Arrhenius activation energy is considered. Computation of entropy generation based upon the second law of thermodynamics is made. Nonlinear partial expressions are obtained via suitable dimensionless variables. Resultant expressions are tackled by the OHAM technique. Features of numerous variables on entropy, temperature, velocity and concentration are graphically visualized. Skin friction and the temperature gradient at the surface are also elaborated. Comparative analysis is deliberated in tabulated form to validate the previously published outcomes. Velocity is reduced significantly via the suction parameter. The entropy rate increases for higher values of Brinkman, Biot and Hartmann numbers. [ABSTRACT FROM AUTHOR]

Present attempt inspects the entropy analysis and melting effect in flow of hybrid nanomaterials consisting of CNTs nanoparticles and engine oil Flow is by a stretching cylinder. Formulation is accountable to the viscous dissipation, velocity slip and thermal radiation impacts. In order to estimate the disorder within the thermo-physical frame, second-order analysis has been used. The governing system with the imposed boundary condition is dimensionless via proper variables. Numerical outcomes are expressed graphically and analyzed. Comparison of hybrid nanomaterial, nanomaterials and regular liquid is expressed graphically. Outcomes indicate that the hybrid nanomaterials have great impact throughout the inspection than the ordinary nanomaterials. [ABSTRACT FROM AUTHOR]

Here, nonlinear mixed convective flow of nanomaterials over a porous stretching sheet is discussed. The Buongiorno model is used in the mathematical modeling. Important aspects of Buongiorno model, i.e., Brownian movement and thermophoresis are addressed. Further impact of activation energy, viscous dissipation, Joule heating and nonlinear thermal radiation retained in energy and concentration expressions. Optimization of entropy generation rate is discussed. The governing systems are modeled through dimensionless variables. The series solutions are constructed via OHAM algorithm. Features of various sundry variables are interpreted and deliberated. Our analysis reveals that entropy enhances via higher estimation of Reynolds number, radiation and magnetic variables. Our analysis reveals that Bejan number shows decaying feature via Brinkman number and magnetic parameter. [ABSTRACT FROM AUTHOR]

In current analysis, flow of magnetized nanofluids in porous curved stretchable surface with variable characteristics has been inspected by imposing the thermal radiation, and activation energy. The exothermic/endothermic reactive effect is included along with Buongiorno nanofluid model to investigate the thermal performance more extensively. The Lorentz force characteristics that cause the interaction of magnetic field with nanoliquid motion is further investigated. Additionally, production of entropy in the porous curved system because of irreversible process has been considered here. The modeled systems for considered model are firstly transformed into ODEs via appropriate variables and then computed by employing NDSolve technique using tool of Mathematica. Flow fields variation against relevant variables is inspected via tables and sketches. The key outcome of analysis is that, the entropy rate upsurges for higher local inertia parameter, radiation variable and Brinkman number. [ABSTRACT FROM AUTHOR]