S. Obaidat

Steady Flow of Maxwell Fluid with Convective Boundary Conditions

We performed a study for the flow of a Maxwell fluid induced by a stretching surface. Heat transfer is also addressed by using the convective boundary conditions. We solved the nonlinear problem by employing a homotopy analysis method (HAM).We computed the velocity, temperature, and Nusselt number. The role of embedded parameters on the velocity and temperature is particularly analyzed

Stagnation point flow of Burgers' fluid over a stretching surface

The steady flow of an incompressible Burger fluid near a stagnation-point over a linearly stretching surface is investigated. The two-dimensional flow equations are modelled and then simplified by employing boundary layer analysis. The solution to the arising nonlinear problem is computed in the whole spatial domain (0 ≤ η< ∞). Interpretation of various emerging parameters is given through graphs for velocity and temperature fields. Furthermore tables are constructed in order to make a comparative study with the previous published results. Comparison shows an excellent agreement with the previous limiting investigations in the field.

Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid

This study describes the mixed convection stagnation point flow and heat transfer of a Jeffery fluid towards a stretching surface. Mathematical formulation is given in the presence of thermal radiation. The Rosseland approximation is used to describe the radiative heat flux. Similarity transformations are employed to reduce the partial differential equations into the ordinary differential equations which are then solved by a homotopy analysis method (HAM). A comparative study is made with the known numerical solutions in a limiting sense and an excellent agreement is noted. The characteristics of involved parameters on the dimensionless velocity and temperature are also examined. It is noticed that the velocity increases with an increase in Deborah number. Further, the temperature is a decreasing function of mixed convection parameter. We further found that for fixed values of other parameters, the local Nusselt number increases by increasing suction parameter and Deborah number.

Melting heat transfer in a boundary layer flow of a second grade fluid under Soret and Dufour effects

Purpose – The boundary layer flow and heat transfer of second grade fluid in a region of the stagnation point over a stretching surface has been examined. Thermal-diffusion (Dufour) and diffusion-thermo (Soret) effects combined with melting heat transfer are also considered. Suitable transformations are employed to convert the partial differential equations representing the conservation of mass, momentum, energy and diffusion into the system of ordinary differential equations. The series solutions for the flow quantities of interest are presented. Interpretation to velocity, temperature and concentration is assigned. Numerical values of the local Nusselt and Sherwood numbers have been computed. The paper aims to discuss these issues. Design/methodology/approach – Analytic approach homotopy analysis method (HAM) is used to find the convergent solution of melting heat transfer in a boundary layer flow of a second grade fluid under Soret and Dufour effects. Findings – In this article the main findings are as...

Series Solution for Rotating Flow of an Upper Convected Maxwell Fluid over a Stretching Sheet

The equations for two-dimensional flow of an upper convected Maxwell (UCM) fluid in a rotating frame are modeled. The resulting equations are first simplified by a boundary layer approach and then solved by a homotopy analysis method (HAM). Convergence of series solution is discussed through residual error curves. The results of the influence of viscoelastic and rotation parameters are plotted and discussed.

Simultaneous Effects of MHD and Thermal Radiation on the Mixed Convection Stagnation-Point Flow of a Power-Law Fluid

Magnetohydrodynamic (MHD) mixed convection stagnation-point flow and heat transfer of power-law fluids towards a stretching surface is investigated. The homotopy analysis method (HAM) is used in finding the series solution for a nonlinear problem. Closed form solutions for velocity and temperature fields are presented in the limiting cases. Graphical results are shown. It is found that velocity and temperature are decreasing functions of power law index. Numerical computations for shear stress coefficient and local Nusselt number are reported. The present results are also compared with the existing numerical solution in a limiting sense.

Peristaltic flow of a Tangent hyperbolic fluid in an inclined asymmetric channel with slip and heat transfer

The peristaltic flow of a magnetohydrodynamic (MHD) Tangent hyperbolic fluid in an inclined asymmetric channel is investigated. The governing equations for the proposed fluid model are derived in Cartesian coordinates system. Simultaneous effects of slip and heat transfer have been taken into account for the present analysis. Regular perturbation method is utilised to get the solutions for stream function, temperature, pressure gradient and heat transfer coefficients. The present solutions are compared with the existing work and comparison is shown through table. The presented graphical results analyse the variations of embedded parameters into the flow system.

Radiation Effect on the Mixed Convection Flow of a Viscoelastic Fluid Along an Inclined Stretching Sheet

This study concentrates on the heat transfer analysis of the steady flow of viscoelastic fluid along an inclined stretching surface. Analysis has been carried out in the presence of thermal radiation and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The equations of continuity, momentum and energy are reduced into the system of governing differential equations and solved by homotopy analysis method (HAM). The velocity and temperature are illustrated through graphs. Exact and homotopy solutions are compared in a limiting sense. It is noticed that viscoelastic parameter decreases the velocity and boundary layer thickness. It is also observed that increasing values of viscoelastic parameter reduces the thickness of momentum boundary layer and increase the heat transfer rate. However, it is found that increasing the radiation parameter has the effect of decreasing the local Nusselt number

Boundary layer flow of Maxwell fluid with power law heat flux and heat source

Purpose – The purpose of this paper is to investigate the two-dimensional flow of Maxwell fluid with power law heat flux and heat source over a stretched surface. Design/methodology/approach – The governing partial differential equations are reduced into ordinary differential equations by applying similarity transformations. Series solutions of velocity and temperature are found by adopting homotopy analysis method (HAM). Findings – It is found that the velocity decreases by increasing Deborah number and suction parameter. It is also observed that the heat generation parameter leads to a decrease in temperature. Furthermore, the numerical values of local Nusselt number decreased with an increase in Deborah number. Practical implications – A useful source of information for the investigators on the field of non-Newtonian fluids with heat transfer. Originality/value – This paper discusses the boundary layer flow of Maxwell fluid with power law heat flux in the presence of heat source.

Exact Solutions on MHD Flow Past an Accelerated Porous Plate in a Rotating Frame

We present an analysis of an electrically conducting viscous fluid over a porous plate in a rotating system. The plate starts impulsively from rest relative to the rotating fluid moving with uniform acceleration in its own plane. Exact solutions are developed for both large and small times. In addition, skin friction is computed. The variations of magnetic field and porosity are displayed and discussed. It is noted that steady state behavior is not achieved even under the simultaneous effects of suction, magnetic field and rotation.