scholarly journals Using Non-Fourier’s Heat Flux and Non-Fick’s Mass Flux Theory in the Radiative and Chemically Reactive Flow of Powell-Eyring Fluid

2021 ◽  
Author(s):  
Hina Firdous ◽  
Syed Tauseef Saeed ◽  
Hijaz Ahmed ◽  
Syed Muhammad Husnine
Keyword(s):  
Heat Flux ◽  
Mass Flux ◽  
Three Dimensional ◽  
Reactive Flow ◽  
Analysis Method ◽  
Nanoparticle Concentration ◽  
Convective Boundary ◽  
Optimal Homotopy Analysis Method ◽  
Radiation Chemical ◽  
Homotopy Analysis

The behavior of convective boundary conditions is studied to delineate their role in heat and mass relegation in the presence of radiation, chemical reaction, and hydromagnetic forces in three-dimensional Powell-Eyring nanofluids. Implications concerning non-Fourier’s heat flux and non-Fick’s mass flux with respect to temperature nanoparticle concentration were examined to discuss the graphical attributes of the principal parameters. An efficient optimal homotopy analysis method is used to solve the transformed partial differential equations. Tables and graphs are physically interpreted for significant parameters

scholarly journals Using Non-Fourier’s Heat Flux and Non-Fick’s Mass Flux Theory in the Radiative and Chemically Reactive Flow of Powell–Eyring Fluid

Energies ◽  
2021 ◽  
Vol 14 (21) ◽  
pp. 6882
Author(s):  
Hina Firdous ◽  
Syed Tauseef Saeed ◽  
Hijaz Ahmad ◽  
Sameh Askar
Keyword(s):  
Heat Flux ◽  
Mass Flux ◽  
Three Dimensional ◽  
Reactive Flow ◽  
Analysis Method ◽  
Convective Boundary ◽  
Optimal Homotopy Analysis Method ◽  
Radiation Chemical ◽  
Magnetic Forces ◽  
Homotopy Analysis

The behavior of convective boundary conditions is studied to delineate their role in heat and mass relegation in the presence of radiation, chemical reaction, and hydro-magnetic forces in three-dimensional Powell–Eyring nanofluids. Implications concerning non-Fourier’s heat flux and non-Fick’s mass flux with respect to temperature nanoparticle concentration were examined to discuss the graphical attributes of the principal parameters. An efficient optimal homotopy analysis method is used to solve the transformed partial differential equations. Tables and graphs are physically interpreted for significant parameters.

scholarly journals Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

2018 ◽  
Vol 23 (1) ◽  
pp. 137-159 ◽  
Author(s):  
C.S. Sravanthi ◽  
R.S.R. Gorla
Keyword(s):  
Heat Source ◽  
Homotopy Analysis Method ◽  
Stretching Sheet ◽  
Analysis Method ◽  
Nanoparticle Concentration ◽  
Convective Boundary ◽  
Maxwell Nanofluid ◽  
Homotopy Analysis ◽  
Exponentially Stretching ◽  
Source Sink

AbstractThe aim of this paper is to study the effects of chemical reaction and heat source/sink on a steady MHD (magnetohydrodynamic) two-dimensional mixed convective boundary layer flow of a Maxwell nanofluid over a porous exponentially stretching sheet in the presence of suction/blowing. Convective boundary conditions of temperature and nanoparticle concentration are employed in the formulation. Similarity transformations are used to convert the governing partial differential equations into non-linear ordinary differential equations. The resulting non-linear system has been solved analytically using an efficient technique, namely: the homotopy analysis method (HAM). Expressions for velocity, temperature and nanoparticle concentration fields are developed in series form. Convergence of the constructed solution is verified. A comparison is made with the available results in the literature and our results are in very good agreement with the known results. The obtained results are presented through graphs for several sets of values of the parameters and salient features of the solutions are analyzed. Numerical values of the local skin-friction, Nusselt number and nanoparticle Sherwood number are computed and analyzed.

scholarly journals Dynamics with Cattaneo–Christov heat and mass flux theory of bioconvection Oldroyd-B nanofluid

2020 ◽  
Vol 12 (8) ◽  
pp. 168781402093046 ◽  
Author(s):  
Noor Saeed Khan ◽  
Qayyum Shah ◽  
Arif Sohail
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Mass Flux ◽  
Homotopy Analysis Method ◽  
Two Dimensional ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Transfer Flow ◽  
Insight Into

Entropy generation in bioconvection two-dimensional steady incompressible non-Newtonian Oldroyd-B nanofluid with Cattaneo–Christov heat and mass flux theory is investigated. The Darcy–Forchheimer law is used to study heat and mass transfer flow and microorganisms motion in porous media. Using appropriate similarity variables, the partial differential equations are transformed into ordinary differential equations which are then solved by homotopy analysis method. For an insight into the problem, the effects of various parameters on different profiles are shown in different graphs.

scholarly journals Entropy Optimization of Third-Grade Nanofluid Slip Flow Embedded in a Porous Sheet With Zero Mass Flux and a Non-Fourier Heat Flux Model

2020 ◽  
Vol 8 ◽  
Author(s):  
K. Loganathan ◽  
G. Muhiuddin ◽  
A. M. Alanazi ◽  
Fehaid S. Alshammari ◽  
Bader M. Alqurashi ◽  
...  
Keyword(s):  
Heat Flux ◽  
Entropy Generation ◽  
Mass Flux ◽  
Slip Flow ◽  
Porous Plate ◽  
Bejan Number ◽  
Surface Boundary ◽  
Nanoparticle Concentration ◽  
Zero Mass ◽  
Analysis Scheme

The prime objective of this article is to explore the entropy analysis of third-order nanofluid fluid slip flow caused by a stretchable sheet implanted in a porous plate along with thermal radiation, convective surface boundary, non-Fourier heat flux applications, and nanoparticle concentration on zero mass flux conditions. The governing physical systems are modified into non-linear ordinary systems with the aid of similarity variables, and the outcomes are solved by a homotopy analysis scheme. The impression of certain governing flow parameters on the nanoparticle concentration, temperature, and velocity is illustrated through graphs, while the alteration of many valuable engineering parameters viz. the Nusselt number and Sherwood number are depicted in graphs. Entropy generation with various parameters is obtained and discussed in detail. The estimation of entropy generation using the Bejan number find robust application in power engineering and aeronautical propulsion to forecast the smartness of entire system.

scholarly journals Soret and dufour effects on hydromagnetic flow of Eyring-Powell fluid over oscillatory stretching surface with heat generation/absorption and chemical reaction

2018 ◽  
Vol 22 (1 Part B) ◽  
pp. 533-543 ◽  
Author(s):  
Khan Ullah ◽  
Nasir Ali ◽  
Zaheer Abbas
Keyword(s):  
Analysis Method ◽  
Governing Equations ◽  
Convective Boundary ◽  
Soret And Dufour Effects ◽  
Electrically Conducting ◽  
Homotopy Analysis ◽  
Oscillatory Stretching Surface ◽  
And Diffusion ◽  
Local Sherwood Number ◽  
Oscillatory Stretching Sheet

In this article, we have investigated thermal-diffusion and diffusion-thermo effects on unsteady flow of electrically conducting Eyring-Powell fluid over an oscillatory stretching sheet by using convective boundary conditions. A set of appropriate variables are used to reduce number of independent variables in governing equations. Series solution is computed using homotopy analysis method. The effects of various parameters of interest on the velocity filed, temperature profile, concentration profile, skin friction, local Nusselt number and local Sherwood number are illustrated graphically and discussed in detail.

Optimal Homotopic Exploration of features of Cattaneo-Christov model in Second Grade Nanofluid flow via Darcy-Forchheimer medium subject to Viscous Dissipation and Thermal Radiation

2021 ◽  
Vol 24 ◽  
Author(s):  
Ghulam Rasool ◽  
Anum Shafiq ◽  
Yu-Ming Chu ◽  
Muhammad Shoaib Bhutta ◽  
Amjad Ali
Keyword(s):  
Temperature Distribution ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Homotopy Analysis Method ◽  
Stream Velocity ◽  
Analysis Method ◽  
Nanofluid Flow ◽  
Optimal Homotopy Analysis Method ◽  
Homotopy Analysis

Introduction: In this article Optimal Homotopy analysis method (oHAM) is used for exploration of the features of Cattaneo-Christov model in viscous and chemically reactive nanofluid flow through a porous medium with stretching velocity at the solid/sheet surface and free stream velocity at the free surface. Methods: The two important aspects, Brownian motion and Thermophoresis are considered. Thermal radiation is also included in present model. Based on the heat and mass flux, the Cattaneo-Christov model is implemented on the Temperature and Concentration distributions. The governing Partial Differential Equations (PDEs) are converted into Ordinary Differential Equations (ODEs) using similarity transformations. The results are achieved using the optimal homotopy analysis method (oHAM). The optimal convergence and residual errors have been calculated to preserve the validity of the model. Results: The results are plotted graphically to see the variations in three main profiles i.e. momentum, temperature and concentration profile. Conclusion: The outcomes indicate that skin friction enhances due to implementation of Darcy medium. It is also noted that the relaxation time parameter results in enhancement of the temperature distribution. Thermal radiation enhances the temperature distribution and so is the case with skin friction.

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