scholarly journals On a Bivariate Spectral Homotopy Analysis Method for Unsteady Mixed Convection Boundary Layer Flow, Heat, and Mass Transfer due to a Stretching Surface in a Rotating Fluid

2017 ◽  
Vol 2017 ◽  
pp. 1-15 ◽  
Author(s):  
Sandile S. Motsa ◽  
Zodwa G. Makukula
Keyword(s):  
Convection Boundary Layer ◽  
Analysis Method ◽  
Rotating Fluid ◽  
Stretching Surface ◽  
Unsteady Mixed Convection ◽  
Convection Boundary ◽  
Homotopy Analysis ◽  
Flow Heat ◽  
Layer Flow ◽  
Spectral Homotopy Analysis Method

A bivariate spectral homotopy analysis method (BSHAM) is extended to solutions of systems of nonlinear coupled partial differential equations (PDEs). The method has been used successfully to solve a nonlinear PDE and is now tested with systems. The method is based on a new idea of finding solutions that obey a rule of solution expression that is defined in terms of the bivariate Lagrange interpolation polynomials. The BSHAM is used to solve a system of coupled nonlinear partial differential equations modeling the unsteady mixed convection boundary layer flow, heat, and mass transfer due to a stretching surface in a rotating fluid, taking into consideration the effect of buoyancy forces. Convergence of the numerical solutions was monitored using the residual error of the PDEs. The effects of the flow parameters on the local skin-friction coefficient, the Nusselt number, and the Sherwood number were presented in graphs.

Soret and Dufour Effects on the Unsteady Mixed Convection Flow Over a Stretching Surface

2013 ◽  
Vol 29 (4) ◽  
pp. 623-632 ◽  
Author(s):  
F. E. Alsaadi ◽  
S. A. Shehzad ◽  
T. Hayat ◽  
S. J. Monaquel
Keyword(s):  
Mixed Convection ◽  
Second Grade ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Analysis Method ◽  
Stretching Surface ◽  
Soret And Dufour Effects ◽  
Unsteady Mixed Convection ◽  
Homotopy Analysis ◽  
Grade Fluid

ABSTRACTMixed convection flow of second grade fluid bounded by a permeable stretching surface is discussed. Soret and Dufour effects are also present. Series solutions for the resulting problems are made using homotopy analysis method (HAM). Analysis has been carried out for the effects of embedded parameters on the velocity, temperature and concentration fields. Numerical values of Nusselt and Sherwood numbers are computed and discussed.

Rotating Flow of a Micropolar Fluid Induced by a Stretching Surface

2010 ◽  
Vol 65 (10) ◽  
pp. 829-843 ◽  
Author(s):  
Tariq Javed ◽  
Iftikhar Ahmad ◽  
Zaheer Abbas ◽  
Tasawar Hayat
Keyword(s):  
Differential Equations ◽  
Micropolar Fluid ◽  
Nonlinear Partial Differential Equations ◽  
Rotating Flow ◽  
Nonlinear Ordinary Differential Equations ◽  
Series Solutions ◽  
Analysis Method ◽  
Stretching Surface ◽  
Homotopy Analysis ◽  
Layer Flow

This investigation deals with the boundary layer flow of a micropolar fluid over a stretching surface. The flow is considered in a rotating frame of reference. The governing nonlinear partial differential equations are reduced to coupled nonlinear ordinary differential equations. The set of similarity equations has been solved analytically employing the homotopy analysis method (HAM). The series solutions are given for velocity and microrotation, and the convergence of these solutions are explicitly discussed. Attention has been focused to the variations of the emerging parameters on the velocity and microrotation are discussed through graphs.

scholarly journals A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder

2014 ◽  
Vol 18 (4) ◽  
pp. 1247-1258 ◽  
Author(s):  
Rahmat Ellahi ◽  
Arshad Riaz ◽  
Saeid Abbasbandy ◽  
Tasawar Hayat ◽  
Kambiz Vafai
Keyword(s):  
Boundary Layer ◽  
Mixed Convection ◽  
Boundary Layer Flow ◽  
Numerical Solutions ◽  
Nonlinear Problems ◽  
Convection Boundary Layer ◽  
Series Solutions ◽  
Convection Boundary ◽  
Homotopy Analysis ◽  
Layer Flow

In this investigation, the series solutions of mixed convection boundary layer flow over a vertical permeable cylinder are constructed. Two types of series as well numerical solutions are presented by choosing exponential and rational bases. The resulting differential system are solved by employing homotopy analysis method (HAM) and Pade technique which have been proven to be successful in tackling nonlinear problems. We offer various verifications of the solutions by comparing to existing, documented results and also mathematically, through reduction of sundry parameters. The convergence of the series solutions have been discussed explicitly. Comparison with existing results reveal that the series solutions are not only valid for large (aiding flow) but also for small values (opposing flow) of ? and the dual solutions do not obtain in both cases.

scholarly journals Unsteady Mixed Convection Boundary Layer from a Circular Cylinder in a Micropolar Fluid

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Anati Ali ◽  
Norsarahaida Amin ◽  
Ioan Pop
Keyword(s):  
Boundary Layer ◽  
Circular Cylinder ◽  
Mixed Convection ◽  
Micropolar Fluid ◽  
Navier Stokes ◽  
Convection Boundary Layer ◽  
Heated Cylinder ◽  
Unsteady Mixed Convection ◽  
Convection Boundary ◽  
Layer Flow

Most industrial fluids such as polymers, liquid crystals, and colloids contain suspensions of rigid particles that undergo rotation. However, the classical Navier-Stokes theory normally associated with Newtonian fluids is inadequate to describe such fluids as it does not take into account the effects of these microstructures. In this paper, the unsteady mixed convection boundary layer flow of a micropolar fluid past an isothermal horizontal circular cylinder is numerically studied, where the unsteadiness is due to an impulsive motion of the free stream. Both the assisting (heated cylinder) and opposing cases (cooled cylinder) are considered. Thus, both small and large time solutions as well as the occurrence of flow separation, followed by the flow reversal are studied. The flow along the entire surface of a cylinder is solved numerically using the Keller-box scheme. The obtained results are compared with the ones from the open literature, and it is shown that the agreement is very good.

Sign in / Sign up

Export Citation Format

Share Document