The HAM Solutions for Unsteady Boundary Layer Flow and Heat Transfer with Heat Source/Sink

2014 ◽  
Vol 887-888 ◽  
pp. 919-923 ◽  
Author(s):  
Jing Zhu ◽  
Zheng Liu
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Nonlinear Differential Equations ◽  
Physical Factors ◽  
Boundary Layer Equations ◽  
Flow And Heat Transfer ◽  
Analytical Approximations ◽  
Homotopy Analysis ◽  
Layer Flow ◽  
Source Sink

Considering the combined effects of the magnetic field and viscous dissipation, this paper investigates the problem of two-dimensional incompressible unsteady flow over a horizontal continuous stretching sheet. Due to the strongly nonlinear and various parameters of this problem, the governing boundary layer equations are transformed into a system of nonlinear differential equations through the similarity transformation, and then analytical approximations of solutions are derived by homotopy analysis method. In addition, the effects of physical factors on the flow and heat transfer characteristics are examed and discussed graphically.

scholarly journals Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method

2010 ◽  
Vol 15 (1) ◽  
pp. 83-95 ◽  
Author(s):  
M. M. Rashidi ◽  
S. A. Mohimanian Pour
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Homotopy Analysis Method ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Analysis Method ◽  
Unsteady Boundary Layer ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Layer Flow

In this work, the homotopy analysis method is applied to study the unsteady boundary-layer flow and heat transfer due to a stretching sheet. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of non-dimensional parameter on the heat transfer is discussed in detail. The validity of our solutions is verified by the numerical results.

scholarly journals Magnetohydrodynamic slip flow and heat transfer over a nonlinear shrinking surface in a heat generating fluid

2020 ◽  
Vol 9 (2) ◽  
pp. 534
Author(s):  
Leli Deswita ◽  
Mohamad Mustaqim Junoh ◽  
Fadzilah Md Ali ◽  
Roslinda Nazar ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Slip Flow ◽  
Transfer Coefficients ◽  
Suction Parameter ◽  
Boundary Layer Equations ◽  
Heat Transfer Coefficients ◽  
Flow And Heat Transfer ◽  
Layer Flow ◽  
Shrinking Surface

In this paper, the problem of steady slip magnetohydrodynamic (MHD) boundary layer flow and heat transfer over a nonlinear permeable shrinking surface in a heat generating fluid is studied. The transformed boundary layer equations are then solved numerically using the bvp4c function in MATLAB solver. Numerical results are obtained for various values of the magnetic parameter, the slip parameter and the suction parameter. The skin friction coefficients, the heat transfer coefficients, as well as the velocity and temperature profiles for various values of parameters are also obtained and discussed. 

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