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Current study examined the magnetohydrodynamic (MHD) Prandtl nanofluid of a thermal double‐diffusive flow through an exponentially vertical surface in association with heat generation, and thermophoresis effect. The novelty of this study is due to the analysis of Prandtl nanofluid model with Soret mechanism and chemically responding fluids. This suggested model is beneficial since it can significantly advance the domains of thermal and industrial engineering. The fluid flow phenomenon is characterized by nonlinear coupled differential equations involving two or more independent variables. A suitable numerical technique is used to handle the set of governing equations along with a stability and convergence analysis. According to recent study, the fluid velocity increases since all the parameters are set to higher levels. For the various parametric values, isotherms and streamlines have been explored. This suggested model is beneficial since it can significantly advance the domains of thermal and industrial engineering. For instance, thermal radiation is crucial in designing sophisticated energy‐transformed systems that operate at high temperatures. On the other hand, the phenomenon of Soret is useful in separating isotopes in chemical engineering. An important findings of the current investigations can be treated as, radiative heat encourages fluid temperature distribution since it is the measure of the electromagnetic element radiates from the fluid particle that convert it into thermal radiation. These studies have several applications in the manufacturing and biomedical fields, petrochemical industries, automobiles, medical sciences, and various production processes in industries. [ABSTRACT FROM AUTHOR]

The aim of this study is to explore the effects of radiative-induced magneto-Prandtl nanofluid on peristaltic waves, in conjunction with viscous dissipation and double-diffusivity convection caused by slip boundaries over an asymmetric channel, using the long wavelength and low but finite Reynold number approximation. The application of thermal radiation and double diffusion is significant in medical research, particularly for treating skin-related ailments through the use of infrared radiation technique. Additionally, infrared radiation can be utilized for medical treatment to restore thermal regulation homeostasis. This study integrates peristaltic motion theory, heat flux using linear approximation, and thermal radiation to analyze the flow problem which incorporates the situation with small temperature difference. The mathematical framework is based on partial differential equations that are further calculated through Numerical Solutions. The numerical solution is calculated using built-in command in the software Mathematica 11 and MATLAB. The impact of various physical parameters on the temperature profile, pressure rise, velocity profile, solute (species) concentration of thermal radiation is illustrated graphically. The significant finding of the study is that the heat radiation effect on blood circulation enhances the temperature which may help to destroy the cancer tissues in drug distribution. [ABSTRACT FROM AUTHOR]

The focus of this study is to examine cross-diffusion effects on radiative and reactive Prandtl nanofluid due to a convectively heated stretching surface. The present flow problem is considered under the assumption that the external magnetic field is applied to study the nanofluid behavior and thermal radiation considered, for a complete understanding of magnetohydrodynamics of the flow. The governing system of the nonlinear partial differential equations of the flow problem is remodeled with suitable similarity invariants and obtained the system of nonlinear ordinary differential equations. The transformed ODEs with their modified boundary conditions deal with the employment of the Runge-Kutta technique using computation shooting schema with MATLAB software. The consequence of numerous leading parameters on the fluid velocity, temperature, concentration, and engineering quantities profiles are discoursed and presented through graphical illustration. Moreover, the current work is also equated with the available work for limiting cases. It is found that the external magnetic field diminishes the motion of fluid and improvement in heat transfer. Concentration performance improvises on cross diffusion, thermophoresis, and Brownian motion impacts. [ABSTRACT FROM AUTHOR]

The current research investigates the effects of Brownian motion, thermophoresis, and multi buoyancy forces on MHD Prandtl fluid as it flows through a stretched cylinder with convective boundary conditions. Linear thermal conductivity is included in the energy equation's development. The nanofluid flows are important in cooling systems, modern nano-technology, electronic parts and heat exchangers. The primary objective of this research is to enhance heat transportation. The problem consists of nonlinear PDEs and these equations are transformed into ODEs by incorporating suitable similarity transformations. The shooting strategy is used to solve the problem numerically after converting the non-dimensional ordinary differential equations to a system of first-order ODEs. A comparison is made between the MATLAB-generated findings and those that have already been published. The numerical results of various parameters have been systematically organized into tabular representations. Graphs show how significant parameters affect the given velocity, temperature, concentration, and motile microorganism measurements. When the buoyancy ratio and bio-convective Rayleigh number increase, the velocity profile drops; however, the temperature profile shows increasing behavior for the thermal radiation parameter. The concentration profiles are enhanced for the higher inputs in curvature parameter, magnetic parameter, and activation parameter while the density of motile microbes' decay for enhanced inputs of bio-convective Lewis number. [ABSTRACT FROM AUTHOR]

The communication aims to analyze the conduct of rotating Prandtl nanofluid with the inclusion of effects like MHD, variable species diffusivity, nonlinear warm radiation, convective limit conditions, velocity slip and chemical reaction on fluid moving along a stretchable surface. Buongiorno model is implemented in orde to catch the Brownian movement and thermophoresis impacts by the presence of nanofluids. The effect of viscous dissemination and Joule heating is used in the current review. Using suitable similarity variables, the governing differential conditions with respect to momentum, energy, and concentration are improved into customary, ordinary differential equations and these equations numerically with the shooting technique. The ranges of different dimensionless parameters used in our study are Prandtl fluid parameter 0 ≤ α ≤ 3.5, elastic parameter 1 ≤ β ≤ 7, thermal radiation 1 ≤ Rd ≤ 2, temperature ratio parameter 1 ≤ θ w ≤ 1.6, Eckart number 0.3 ≤ Ec ≤ 0.7, velocity slip parameter 0 ≤ γ 1 ≤ 1, thermophoresis parameter 0.1 ≤ Nt ≤ 4, Brownian motion parameter 0.1 ≤ Nb ≤ 1.5, Prandtl number 1.7 ≤ Pr ≤ −2.6, magnetic parameter 0.1 ≤ M ≤ 0.8, chemical reaction parameter 0.2 ≤ δ ≤ 1, convection parameter 0.3 ≤ γ 2 ≤ 1.1, rotational parameter 0.1 ≤ λ ≤ 0.7, Schmidt number 0.1 ≤ Sc ≤ 0.7, variable species diffusivity 0.1 ≤ ϵ ≤ 0.5 which shows up during mathematical arrangement are shown as tables and charts. These results are enhanced with the data for the heat transfer rate and skin friction coefficients. It is seen that the temperature profile enhanced on account of an increase in temperature convection boundary and mass fraction field raises due to an improvement in species diffusivity parameter. [ABSTRACT FROM AUTHOR]

In this paper, a generalized Newtonian nanofluid in a bio-microfluidics channel due to combined effects of peristalsis and external applied electric field in the presence of thermal radiation and Joule heating is considered. The Poisson and Nernst-Planck equations are taken into account. The obtained non-linear coupled ordinary differential equations are simulated numerically. The impacts of several parameters under the applied electric field on velocity, temperature, concentration, trapping isothermal lines, Nusselt, and Sherwood numbers are presented graphically. It is observed that the number of isothermal lines increases with the electro-osmotic parameter thermophoresis parameter and Brownian motion parameter while perter out with thermal radiation. The results are helpful to design the micro pumps/chips used in medical engineering and improved the thermal efficiency and the durability of microchip cooling devices. [ABSTRACT FROM AUTHOR]