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 Heat and mass transfer analysis in unsteady boundary layer flow of Maxwell nanofluid over a stretching sheet

2020 ◽  
Vol 13 (2) ◽  
pp. 81-97
Author(s):  
Eshetu Haile ◽  
Bandari Shankar ◽  
Eleni Seid ◽  
Raja Shekar
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Heat Source ◽  
Homotopy Analysis Method ◽  
Stretching Sheet ◽  
Volume Fraction ◽  
Analysis Method ◽  
Maxwell Nanofluid ◽  
Homotopy Analysis ◽  
Layer Flow

This paper presents analytic study of heat and mass transfer in a two-dimensional, unsteady flow of Maxwell nanofluids over a horizontal stretching sheet. The non-linear governing equations with the relevant boundary conditions have been simplified by using similarity transformations and the resulting equations are solved by using the homotopy analysis method. The convergence and accuracy of the solutions are verified. Impacts of magnetic field, thermal radiation, heat source, surface permeability and chemical reaction on velocity, temperature and nanoparticles volume fraction profiles are examined and presented in graphical and tabular forms. The study reveals that increasing the effect of heat source maximizes the temperature profile whereas it reduces the nanoparticle volume fraction profile in the boundary layer. On the other hand, the increase in chemical reaction is found to enhance the nanoparticle concentration. Keywords:- Homotopy Analysis Method; Unsteady Flow; Boundary Layer Flow; Maxwell Nanofluid

scholarly journals Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
I. Swain ◽  
S. R. Mishra ◽  
H. B. Pattanayak
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Mhd Flow ◽  
Mass Transfer Effect ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching ◽  
Source Sink

An attempt has been made to study the heat and mass transfer effect in a boundary layer MHD flow of an electrically conducting viscous fluid subject to transverse magnetic field on an exponentially stretching sheet through porous medium. The effect of thermal radiation and heat source/sink has also been discussed in this paper. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. Graphical results are displayed for nondimensional velocity, temperature, and concentration profiles while numerical values of the skin friction local Nusselt number and Sherwood number are presented in tabular form for various values of parameters controlling the flow system.

scholarly journals Analytical solution of Velocities and Temperature fields using Homotopy Analysis Method

2021 ◽  
Vol 12 (1S) ◽  
pp. 691-700
Author(s):  
Dr. K.V.Tamil Selvi , Et. al.
Keyword(s):  
Partial Differential Equations ◽  
Analytical Solution ◽  
Differential Equations ◽  
Homotopy Analysis Method ◽  
Nonlinear Differential Equations ◽  
Temperature Fields ◽  
Analysis Method ◽  
Partial Differential ◽  
Convective Boundary ◽  
Homotopy Analysis

In this paper, analysis of nonlinear partial differential equations on velocities and temperature with convective boundary conditions are investigated. The governing partial differential equations are transformed into ordinary differential equations by applying similarity transformations. The system of nonlinear differential equations are solved using Homotopy Analysis Method (HAM). An analytical solution is obtained for the values of Magnetic parameter M2, Prandtl number Pr, Porosity parameter

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