Double stratified stagnation-point flow of Williamson nanomaterial with entropy generation through a porous medium

2019 ◽  
Vol 30 (4) ◽  
pp. 1899-1922 ◽  
Author(s):  
Muhammad Ijaz Khan ◽  
M.Z. Kiyani ◽  
Tasawar Hayat ◽  
Muhammad Faisal Javed ◽  
I. Ahmad
Keyword(s):  
Porous Medium ◽  
Stagnation Point ◽  
Entropy Generation ◽  
Stagnation Point Flow ◽  
Double Stratification ◽  
Convective Boundary ◽  
Content Type ◽  
Homotopy Analysis ◽  
Basic Objective ◽  
Flow Through

Purpose This paper aims to address double-stratified stagnation-point flow of Williamson nanomaterial with entropy generation. Flow through porous medium is discussed. Energy equation is modeled in existence of viscous dissipation, Brownian motion and thermophoresis. Furthermore, convective boundary conditions are considered. Total entropy rate is presented. Design/methodology/approach The non-linear flow expressions are converted to ordinary ones by implementation of suitable transformations. The obtained ordinary system is tackled for series solutions via homotopy analysis method. Findings Till date no one has considered the irreversibility analysis in stagnation-point flow of Williamson nanomaterial with double stratification, porous medium and convective conditions. The basic objective of present research is to investigate the convective stagnation point flow of Williamson liquid with entropy concept and porous medium. Originality/value As per the authors’ knowledge, no such work is yet present in the literature.

Heat and mass transfer effects on MHD non-Newtonian fluids flow through an inclined thermally-stratified porous medium

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Gladys Tharapatla ◽  
Pamula Rajakumari ◽  
Ramana G.V. Reddy
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Velocity Profile ◽  
Heat And Mass Transfer ◽  
Newtonian Fluids ◽  
Transfer Effects ◽  
Content Type ◽  
Non Linear ◽  
Homotopy Analysis ◽  
Flow Through

Purpose This paper aims to analyze heat and mass transfer of magnetohydrodynamic (MHD) non-Newtonian fluids flow past an inclined thermally stratified porous plate using a numerical approach. Design/methodology/approach The flow equations are set up with the non-linear free convective term, thermal radiation, nanofluids and Soret–Dufour effects. Thus, the non-linear partial differential equations of the flow analysis were simplified by using similarity transformation to obtain non-linear coupled equations. The set of simplified equations are solved by using the spectral homotopy analysis method (SHAM) and the spectral relaxation method (SRM). SHAM uses the approach of Chebyshev pseudospectral alongside the homotopy analysis. The SRM uses the concept of Gauss-Seidel techniques to the linear system of equations. Findings Findings revealed that a large value of the non-linear convective parameters for both temperature and concentration increases the velocity profile. A large value of the Williamson term is detected to elevate the velocity plot, whereas the Casson parameter degenerates the velocity profile. The thermal radiation was found to elevate both velocity and temperature as its value increases. The imposed magnetic field was found to slow down the fluid velocity by originating the Lorentz force. Originality/value The novelty of this paper is to explore the heat and mass transfer effects on MHD non-Newtonian fluids flow through an inclined thermally-stratified porous medium. The model is formulated in an inclined plate and embedded in a thermally-stratified porous medium which to the best of the knowledge has not been explored before in literature. Two elegance spectral numerical techniques have been used in solving the modeled equations. Both SRM and SHAM were found to be accurate.

Stagnation Point Flow through a Porous Medium towards a Radially Stretching Sheet in the Presence of Uniform Suction or Injection and Heat Generation

2012 ◽  
Vol 134 (8) ◽  
Author(s):  
Hazem Ali Attia ◽  
Karem Mahmoud Ewis ◽  
Mostafa A. M. Abdeen
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Stagnation Point ◽  
Heat Generation ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Uniform Suction ◽  
Flow Through ◽  
Energy Equations

An analysis is made of the steady laminar axisymmetric stagnation point flow of an incompressible viscous fluid in a porous medium impinging on a permeable radially stretching sheet with heat generation or absorption. A uniform suction or blowing is applied normal to the plate which is maintained at a constant temperature. Similarity transformation is used to transform the governing partial differential equations to ordinary differential equations. The finite difference method and generalized Thomas algorithm are used to solve the governing nonlinear momentum and energy equations. The effects of the uniform suction/blowing velocity, the stretching parameter and the heat generation/absorption coefficient on both the flow field and heat transfer are presented and discussed. The results indicate that increasing the stretching parameter or the suction/blowing velocity decreases both the velocity and thermal boundary layer thicknesses. The effect of the stretching parameter on the velocity components is more apparent for suction than blowing while its effect on the temperature and rate of heat transfer at the wall is clearer in the case of blowing than suction.

Numerical simulation of the stagnation point flow past a permeable stretching/shrinking sheet with convective boundary condition and heat generation

2016 ◽  
Vol 26 (1) ◽  
pp. 348-364 ◽  
Author(s):  
Alin V. Rosca ◽  
Natalia C. Rosca ◽  
Ioan Pop
Keyword(s):  
Boundary Condition ◽  
Stagnation Point ◽  
Heat Generation ◽  
Energy Equation ◽  
Convective Boundary Condition ◽  
Stagnation Point Flow ◽  
Lower Branch ◽  
Convective Boundary ◽  
Content Type ◽  
Branch Solution

Purpose – The purpose of this paper is the stagnation-point flow driven by a permeable stretching/shrinking surface with convective boundary condition and heat generation. Design/methodology/approach – It is known that similarity solutions of the energy equation are possible for the boundary conditions of constant surface temperature and constant heat flux. However, for the present case it is demonstrated that a similarity solution is possible if the convective heat transfer associated with the hot fluid on the lower surface of the plate is constant. Findings – The governing boundary layer equations are transformed to self-similar nonlinear ordinary differential equations using similarity transformations. Numerical results of the resulting equations are obtained using the function bvp4c from Matlab for different values of the governing parameters. In addition an analytical solution has been obtained for the energy equation when heat generation is absent. The streamlines for the upper branch solution show that the pattern is almost similar to the normal stagnation-point flow, but because of the existence of suction and shrinking effect, the flow seems like suck to the permeable wall. Originality/value – Dual solutions are found for negative values of the moving parameter. A stability analysis has been also performed to show that the first upper branch solutions are stable and physically realizable, while the lower branch solutions are not stable and, therefore, not physically possible. The streamlines for the lower branch solution are also graphically shown.

scholarly journals Magnetohydrodynamics (MHD) stagnation point flow past a shrinking/stretching surface with double stratification effect in a porous medium

2019 ◽  
Vol 139 (6) ◽  
pp. 3635-3648 ◽  
Author(s):  
Najiyah Safwa Khashi’ie ◽  
Norihan Md Arifin ◽  
Mohammad Mehdi Rashidi ◽  
Ezad Hafidz Hafidzuddin ◽  
Nadihah Wahi
Keyword(s):  
Porous Medium ◽  
Stagnation Point ◽  
Stagnation Point Flow ◽  
Stretching Surface ◽  
Double Stratification ◽  
Flow Past ◽  
Stratification Effect

Chemical reaction, radiation and slip effects on MHD mixed convection stagnation-point flow in a porous medium with convective boundary condition

2017 ◽  
Vol 27 (2) ◽  
pp. 454-470 ◽  
Author(s):  
S. Sivasankaran ◽  
H. Niranjan ◽  
M. Bhuvaneswari
Keyword(s):  
Porous Medium ◽  
Stagnation Point ◽  
Chemical Reaction ◽  
Heat Generation ◽  
Convective Boundary Condition ◽  
Convective Boundary ◽  
Content Type ◽  
Coupled Equations ◽  
Manufacturing Engineering ◽  
Layer Flow

Purpose The purpose of this paper is to investigate the Newtonian heating and slip effect on mixed convective flow near a stagnation point in a porous medium with thermal radiation in the presence of magnetohydrodynamic (MHD), heat generation/absorption and chemical reaction. Design/methodology/approach The governing nonlinear coupled equations are converted into ordinary differential equations by similarity transformation. These equations are solved numerically using a Runge–Kutta–Fehlberg method with shooting technique and analytically using the homotopy analysis method (HAM). Findings The effects of different parameters on the fluid flow and heat transfer are investigated. It is found that the velocity and temperature profiles increase on an increase in the Biot number. The velocity and concentration profiles increase on decreasing the chemical reaction parameter. Practical implications This paper is helpful to the engineers and scientists in the field of thermal and manufacturing engineering. Originality/value The two-dimensional boundary layer flow over a vertical plate with slip and convective boundary conditions near the stagnation-point is analysed in the presence of magnetic field, radiation and heat generation/absorption. This paper is helpful to the engineers and scientists in the field of thermal and manufacturing engineering.

scholarly journals Entropy Generation Analysis for Stagnation Point Flow in a Porous Medium over a Permeable Stretching Surface

2015 ◽  
Vol 8 (4) ◽  
pp. 753-765 ◽  
Author(s):  
M.M. Rashidi ◽  
F. Mohammadi ◽  
S. Abbasbandy ◽  
Mohammed S. Alhuthali ◽  
◽  
...  
Keyword(s):  
Porous Medium ◽  
Stagnation Point ◽  
Entropy Generation ◽  
Stagnation Point Flow ◽  
Stretching Surface
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