Effects of Transpiration and Internal Heat Generation/Absorption on the Unsteady Flow of a Maxwell Fluid at a Stretching Surface

Abstract

The effect of transpiration on unsteady two-dimensional flow of an MHD non-Newtonian Maxwell fluid over a stretching surface in the presence of a heat source/sink is investigated. The upper convected Maxwell fluid model is used to characterize the nonNewtonian fluid behavior. Using a similarity transformation the governing partial differential equations of the problem are reduced to a system of ordinary differential equations (ODEs), and the ODEs are solved numerically by a shooting method. The flow features and the heat transfer characteristics are analyzed and discussed in detail for several sets of values of the governing parameters. Though the velocity of the fluid initially decreases with increasing unsteady parameter but it increases finally. Quite the opposite is true with the temperature. Furthermore, the velocity of the fluid decreases with an increasing magnetic or Maxwell parameter. But the temperature is enhanced with an increasing Maxwell parameter. It is observed that the effect of the transpiration is to decrease the fluid velocity as well as the temperature. The results obtained reveal many interesting behaviors that warrant further study ofthe equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction

“…We now introduce the following relations for u, t (Mukhopadhyay [36,38], Mukhopadhyay and Vajravelu [39]) and / as,…”

Casson fluid flow and heat transfer past a symmetric wedge

“…The governing equations of non‐Newtonian fluids are highly non‐linear and much more complicated than that of Newtonian fluids. Due to the complexity of these fluids, no single constitutive equation exhibiting all properties of such fluids is available (Mukhopadhyay , Mukhopadhyay and Vajravelu ). Several models can be found in this regard.…”

Numerical Study of Flow and Heat Transfer of Casson Fluid Over an Exponentially Porous Stretching Surface in Presence of Thermal Radiation

“…A comparative study is made to the accuracy of the applied numerical method corresponding to the values of heat transfer coefficient [-θ'(0)] for Newtonian fluid in the absence of suction/blowing (S=0) with the available literature Magyari and Keller [2] and Pramanik [15]. The result seems to be good in the agreement.…”

“…Pramanik [15] The purpose of the present work is to extend the flow and heat transfer of a Casson fluid in a boundary layer over an exponentially porous stretching surface in the presence of thermal radiation numerically. The numerical technique was given in detail by Cebeci et al [16] in the book physical and computational aspects of convective heat transfer Using similar transformations, the momentum and energy equations are converted into ordinary differential equations and solved numerically using an implicit finite different method known as a Keller Box method.…”