scholarly journals THE STUDY OF HEAT AND MASS TRANSFER IN A VISCO ELASTIC FLUID DUE TO A CONTINUOUS STRETCHING SURFACE USING HOMOTOPY ANALYSIS METHOD

2014 ◽  
Vol 4 (4) ◽  
pp. 389-403
Author(s):  
Rajeswari Seshadri ◽  
◽  
Shankar Rao Munjam
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Homotopy Analysis Method ◽  
Analysis Method ◽  
Stretching Surface ◽  
Elastic Fluid ◽  
Homotopy Analysis

scholarly journals Investigation of combined heat and mass transfer between vertical parallel plates in a two-layer flow of couple stress nanofluid

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Najeeb Alam Khan ◽  
Faqiha Sultan ◽  
Fatima Riaz ◽  
Muhammad Jamil
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Homotopy Analysis Method ◽  
Couple Stress ◽  
Couple Stress Fluid ◽  
Parallel Plates ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Highly Nonlinear ◽  
Homotopy Analysis

Abstract This study is an investigation of fully-developed laminar flow in a two-layer vertical channel; one part filled with couple stress nanofluid and the other part with clear couple stress fluid. The flow is examined for combined heat and mass transfer using uniform wall temperature and concentration boundary conditions. Optimal homotopy analysis method (OHAM) is used to solve the nonlinear coupled ordinary differential equations (ODEs) governing the flow in each region. This method is based on the homotopy analysis method (HAM)which is an effective method to analytically approximate the solution of highly nonlinear problems. The influence of pertinent parameters is observed on velocity, temperature, and concentration distributions, specifically, the effect of Brownian parameter on couple stress fluid is mentioned.

Double-diffusive MHD convective flow of heat and mass transfer over a stretching sheet embedded in a thermally-stratified porous medium

2019 ◽  
Vol 16 (6) ◽  
pp. 712-724 ◽  
Author(s):  
Bidemi Olumide Falodun ◽  
Adeola John Omowaye
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Homotopy Analysis Method ◽  
Convective Flow ◽  
Stretching Sheet ◽  
Analysis Method ◽  
Content Type ◽  
Homotopy Analysis ◽  
Double Diffusive

Purpose This paper aims to address the problem of double-diffusive magnetohydrodynamics (MHD) non-Darcy convective flow of heat and mass transfer over a stretching sheet embedded in a thermally-stratified porous medium. The controlling parameters such as chemical reaction parameter, permeability parameter, etc., are extensively discussed and illustrated in this paper. Design/methodology/approach With the help of appropriate similarity variables, the governing partial differential equations are converted into ordinary differential equations. The transformed equations are solved using the spectral homotopy analysis method (SHAM). SHAM is a numerical method, which uses Chebyshev pseudospectral and homotopy analysis method in solving science and engineering problems. Findings The effects of all controlling parameters are presented using graphical representations. The results revealed that the applied magnetic field in the transverse direction to the flow gives rise to a resistive force called Lorentz. This force tends to reduce the flow of an electrically conducting fluid in the problem of heat and mass transfer. As a result, the fluid velocity reduces in the boundary layer. Also, the suction increases the velocity, temperature, and concentration of the fluid, respectively. The present results can be used in complex problems dealing with double-diffusive MHD non-Darcy convective flow of heat and mass transfer. Originality/value The uniqueness of this paper is the examination of double-diffusive MHD non-Darcy convective flow of heat and mass transfer. It is considered over a stretching sheet embedded in a thermally-stratified porous medium. To the best of the knowledge, a problem of this type has not been considered in the past. A novel method called SHAM is used to solve this modelled problem. The novelty of this method is its accuracy and fastness in computation.

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 Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
M. M. Rashidi ◽  
E. Momoniat ◽  
B. Rostami
Keyword(s):  
Boundary Layer ◽  
Viscoelastic Fluid ◽  
Homotopy Analysis Method ◽  
Approximate Solutions ◽  
Analysis Method ◽  
Stretching Surface ◽  
Electrically Conducting ◽  
Boundary Layer Equations ◽  
Homotopy Analysis ◽  
Energy Equations

In this study, a steady, incompressible, and laminar-free convective flow of a two-dimensional electrically conducting viscoelastic fluid over a moving stretching surface through a porous medium is considered. The boundary-layer equations are derived by considering Boussinesq and boundary-layer approximations. The nonlinear ordinary differential equations for the momentum and energy equations are obtained and solved analytically by using homotopy analysis method (HAM) with two auxiliary parameters for two classes of visco-elastic fluid (Walters’ liquid B and second-grade fluid). It is clear that by the use of second auxiliary parameter, the straight line region inℏ-curve increases and the convergence accelerates. This research is performed by considering two different boundary conditions: (a) prescribed surface temperature (PST) and (b) prescribed heat flux (PHF). The effect of involved parameters on velocity and temperature is investigated.

MASS TRANSFER EFFECTS ON THE UNSTEADY FLOW OF UCM FLUID OVER A STRETCHING SHEET

2011 ◽  
Vol 25 (21) ◽  
pp. 2863-2878 ◽  
Author(s):  
T. HAYAT ◽  
M. AWAIS ◽  
M. SAJID
Keyword(s):  
Mass Transfer ◽  
Stretching Sheet ◽  
Maxwell Fluid ◽  
Analysis Method ◽  
Stretching Surface ◽  
Transfer Effects ◽  
Surface Mass ◽  
Surface Mass Transfer ◽  
Ucm Fluid ◽  
Homotopy Analysis

This paper looks at the mass transfer effects on the unsteady two-dimensional and magnetohydrodynamic flow of an upper-convected Maxwell fluid bounded by a stretching surface. Homotopy analysis method is used for the development of series solution of the arising nonlinear problem. Plots of velocity and concentration fields are displayed and discussed. The values of surface mass transfer and gradient of mass transfer are also tabulated.

scholarly journals Flow of an Erying-Powell fluid over a stretching sheet in presence of chemical reaction

2016 ◽  
Vol 20 (6) ◽  
pp. 1903-1912 ◽  
Author(s):  
Ilyas Khan ◽  
Muhammad Qasim ◽  
Sharidan Shafie
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Similarity Transformation ◽  
Integration Scheme ◽  
Physical Parameters ◽  
Analysis Method ◽  
Stretching Surface ◽  
Shooting Technique ◽  
Homotopy Analysis

In this paper we study the flow of an incompressible Erying-Powell fluid bounded by a linear stretching surface. The mass transfer analysis in the presence of destructive /generative chemical reactions is also analyzed. A similarity transformation is used to transform the governing partial differential equations into ordinary differential equations. Computations for dimensionless velocity and concentration fields are performed by an efficient approach namely the homotopy analysis method (HAM) and numerical solution is obtained by shooting technique along with Runge-Kutta-Fehlberg integration scheme. Graphical results are prepared to illustrate the details of flow and mass transfer characteristics and their dependence upon the physical parameters. The values for gradient of mass transfer are also evaluated and analyzed. A comparison of the present solutions with published results in the literature is performed and the results are found to be in excellent agreement.

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