Heat transfer for laminar thermally developing flow in parallel-plates using the asymptotic method

2010 ◽  
Author(s):  
M. M. Awad
Keyword(s):  
Heat Transfer ◽  
Asymptotic Method ◽  
Parallel Plates ◽  
Developing Flow

Use of Optimal Homotopy Asymptotic Method and Galerkin’s Finite Element Formulation in the Study of Heat Transfer Flow of a Third Grade Fluid Between Parallel Plates

2011 ◽  
Vol 133 (9) ◽  
Author(s):  
S. Iqbal ◽  
A. R. Ansari ◽  
A. M. Siddiqui ◽  
A. Javed
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Poiseuille Flow ◽  
Asymptotic Method ◽  
Numerical Solutions ◽  
Parallel Plates ◽  
Third Grade Fluid ◽  
Grade Fluid ◽  
Optimal Homotopy Asymptotic Method ◽  
Transfer Flow

We investigate the effectiveness of the optimal homotopy asymptotic method (OHAM) in solving nonlinear systems of differential equations. In particular we consider the heat transfer flow of a third grade fluid between two heated parallel plates separated by a finite distance. The method is successfully applied to study the constant viscosity models, namely plane Couette flow, plane Poiseuille flow, and plane Couette–Poiseuille flow for velocity fields and the temperature distributions. Numerical solutions of the systems are also obtained using a finite element method (FEM). A comparative analysis between the semianalytical solutions of OHAM and numerical solutions by FEM are presented. The semianalytical results are found to be in good agreement with numerical solutions. The results reveal that the OHAM is precise, effective, and easy to use for such systems of nonlinear differential equations.

Forced Convection Cooling Across Rectangular Blocks

1987 ◽  
Vol 109 (2) ◽  
pp. 321-328 ◽  
Author(s):  
J. Davalath ◽  
Y. Bayazitoglu
Keyword(s):  
Heat Transfer ◽  
Stokes Equations ◽  
Control Volume ◽  
Navier Stokes ◽  
Maximum Temperature ◽  
Heat Sources ◽  
Parallel Plates ◽  
Navier Stokes Equations ◽  
Developing Flow ◽  
Convection Cooling

Conjugate heat transfer for two-dimensional, developing flow over an array of rectangular blocks, representing finite heat sources on parallel plates, is considered. Incompressible flow over multiple blocks is modeled using the fully elliptic form of the Navier–Stokes equations. A control-volume-based finite difference procedure with appropriate averaging for the diffusion coefficients is used to solve the coupling between the solid and fluid regions. The heat transfer characteristics resulting from recirculating zones around the blocks are presented. The analysis is extended to study the optimum spacing between heat sources for a fixed heat input and a desired maximum temperature at the heat source.

scholarly journals Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

2021 ◽  
Vol 60 (4) ◽  
pp. 3593-3604
Author(s):  
Muhammad Danish Ikram ◽  
Muhammad Imran Asjad ◽  
Ali Akgül ◽  
Dumitru Baleanu
Keyword(s):  
Heat Transfer ◽  
Hybrid Nanofluid ◽  
Parallel Plates ◽  
Fractional Model ◽  
Transfer Flow
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