scholarly journals Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks

2012 ◽  
Vol 36 (4) ◽  
pp. 1806-1820 ◽  
Author(s):  
Si Xinhui ◽  
Zheng Liancun ◽  
Zhang Xinxin ◽  
Si Xinyi
Keyword(s):  
Heat Transfer ◽  
Laminar Flow ◽  
Viscous Fluid ◽  
Homotopy Analysis Method ◽  
Analysis Method ◽  
Rotating Disks ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis

scholarly journals Falkner-Skan Flow of a Maxwell Fluid with Heat Transfer and Magnetic Field

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
M. Qasim ◽  
S. Noreen
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Prandtl Number ◽  
Comparative Study ◽  
Homotopy Analysis Method ◽  
Maxwell Fluid ◽  
Deborah Number ◽  
Analysis Method ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis

This investigation deals with the Falkner-Skan flow of a Maxwell fluid in the presence of nonuniform applied magnetic fi…eld with heat transfer. Governing problems of flow and heat transfer are solved analytically by employing the homotopy analysis method (HAM). Effects of the involved parameters, namely, the Deborah number, Hartman number, and the Prandtl number, are examined carefully. A comparative study is made with the known numerical solution in a limiting sense and an excellent agreement is noted.

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.

Homotopy Analysis Method for Radiation and Hydrodynamic-Thermal Slips Effects on MHD Flow and Heat Transfer Impinging on Stretching Sheet

2018 ◽  
Vol 388 ◽  
pp. 317-327 ◽  
Author(s):  
Fazle Mabood ◽  
Giulio Lorenzini ◽  
Nopparat Pochai ◽  
Stanford Shateyi
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Homotopy Analysis Method ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Published Data ◽  
Analysis Method ◽  
Flow And Heat Transfer ◽  
Special Cases ◽  
Homotopy Analysis

This article deals with the analytical study of MHD flow and heat transfer over a permeable stretching sheet via homotopy analysis method (HAM). The effect of thermal radiation is included in the energy equation, while velocity and thermal slips are included in the boundary conditions. The governing boundary layer equations are transformed into a set of ordinary differential equations by means of similarity transformations. The effects of different parameters on the flow field and heat transfer characteristics are examined. The results obtained were shown to compare well with the numerical results and for some special cases with the published data available in the literature, which are in favorable agreement. Keywords: MHD; Slip flow; Stretching sheet; Thermal radiation; Homotopy analysis method

Sign in / Sign up

Export Citation Format

Share Document