Multiple Solutions of an Unsteady Stagnation-Point Flow with Melting Heat Transfer in a Darcy–Brinkman Porous Medium

2016 ◽  
Vol 0 (0) ◽  
Author(s):  
M Khalid Aurangzaib ◽  
Bhattacharyya Krishnendu ◽  
Shafie Sharidan
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Stagnation Point ◽  
Multiple Solutions ◽  
Melting Heat ◽  
Similarity Transformations ◽  
Melting Heat Transfer ◽  
Self Similar ◽  
Layer Flow

AbstractThe characteristics of the unsteady boundary layer flow with melting heat transfer near a stagnation-point towards a flat plate embedded in a DarcyBrinkman porous medium with thermal radiation are investigated. The governing partial differential equations are transformed into self-similar ordinary differential equations by similarity transformations. The transformed self-similar equations are solved numerically using bvp4c from Matlab for several values of the flow parameters. The study reveals that the multiple solutions exist for the decelerating (

Radiative MHD Stagnation-Point Flow with Heat Transfer Past a Permeable Stretching/Shrinking Sheet in a Porous Medium

2017 ◽  
Vol 11 ◽  
pp. 110-128
Author(s):  
Shoeb R. Sayyed ◽  
B.B. Singh ◽  
Nasreen Bano
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Stagnation Point ◽  
Stagnation Point Flow ◽  
Shrinking Sheet ◽  
Nonlinear Ordinary Differential Equations ◽  
Similarity Transformations ◽  
Energy Equations

In the present study, an analytical analysis has been carried out to investigate the MHD stagnation-point flow and heat transfer past a permeable stretching/shrinking sheet in a porous medium in the presence of thermal radiation. Similarity transformations have been employed to simplify the momentum and energy equations into coupled nonlinear ordinary differential equations. The resulting nonlinear ordinary differential equations are then solved analytically through BVPh 2.0 Mathematica package based on homotopy analysis method (HAM). Effects of various parameters such as Prandtl number, permeability parameter, magnetic parameter, suction/blowing parameter, stretching/shrinking parameter, radiation parameter and wall temperature exponent on velocity and/or temperature profiles are explored and discussed graphically. Our results have been compared with the available literature and have been found in excellent agreement. This study may have applications in metallurgy industry and aerodynamic extrusion of plastic sheet.

scholarly journals Melting heat transfer in the stagnation-point flow of third grade fluid past a stretching sheet with viscous dissipation

2013 ◽  
Vol 17 (3) ◽  
pp. 865-875 ◽  
Author(s):  
Tasawar Hayat ◽  
Zahid Iqbal ◽  
Meraj Mustafa ◽  
Awatif Hendi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Melting Heat ◽  
Melting Heat Transfer ◽  
Grade Fluid ◽  
Layer Flow

An analysis has been carried out for the characteristics of melting heat transfer in the boundary layer flow of third grade fluid in a region of stagnation point past a stretching sheet. The relevant partial differential equations are reduced into ordinary differential system by suitable transformations. The series solutions are developed by homotopy analysis method (HAM). It is revealed that an increase in the melting parameter (M ) decreases the velocity and the temperature (? ). An increase in the third grade parameter (? ) increases the velocity and the boundary layer thickness. The present results are also compared with the previous studies.

Influence of Melting Heat Transfer in the Stagnation-Point Flow of a Jeffrey Fluid in the Presence of Viscous Dissipation

2012 ◽  
Vol 79 (2) ◽  
Author(s):  
M. Mustafa ◽  
T. Hayat ◽  
Awatif A. Hendi
Keyword(s):  
Heat Transfer ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Melting Process ◽  
Deborah Number ◽  
Stagnation Point Flow ◽  
Heat Transfer Analysis ◽  
Jeffrey Fluid ◽  
Melting Heat ◽  
Melting Heat Transfer

This communication studies the effect of melting heat transfer on the stagnation-point flow of a Jeffrey fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of viscous dissipation. The arising differential system has been solved by the homotopy analysis method (HAM). The results indicate an increase in the velocity and the boundary layer thickness with an increase in the values of the elastic parameter (Deborah number) for a Jeffrey fluid which are opposite to those accounted for in the literature for the other subclasses of rate type fluids. Furthermore, an increase in the melting process corresponds to an increase in the velocity and a decrease in the temperature. A comparative study between the current computations and the previous studies is also presented in a limiting sense.

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