Abstract-The flow and heat transfer of aCasson fluid flow over an impermeable stretching surface with variable thermal conductivity and non-uniform heat source/sink in the presence of partial slip is investigated. The resulting partial differential equations are reduced to a set of non-linear ordinary differential equation using similarity transformation and solved numerically using Runge-Kutta method along with shooting technique. The effects of the governing parameter on velocityand temperature fields are discussed. Key words-Casson fluid, Partial slip, Variable thermal conductivity, Non-uniform heat source/sink 1. INTRODUCTION The flow over a stretching sheet is significant due to its much application in engineering processes such as in the extraction of polymer sheets, paper production, wire drawing and glass-fiber production.Sakiadis [1,2] initiated the study of the boundary layer flow over a continuous solid surface moving with constant speed.The boundary layer problem considered by Sakiadis differs from the classical boundary-layer problem of Blasius [3], mainly due to the entrainment of the ambient liquid. Here the surface is assumed to be constant (u w =0) whereas most of the physical situations are concerned with extensible surface (u w = cx) moving in a cooling liquid. Crane [4], for the first time, considered the boundary-layer behavior over an extensible surface, where he assumed the velocity of the surface to vary linearly with the distance from the slit. Carrayher and Crane [5] analyzed the heat transfer due to a continuous stretching sheet. The pioneering work of Crane was extended by many authors Gupta and Gupta [6], Grabka and Babba [7], Chen and Chur [8], and Chaim [9]. In engineering applications, homogeneous or heterogeneous reactions often lead to a significant heat release accompanied by non-isothermal conditions that require the introduction of a heat source/sink term in the energy equation.Cartel [10][11][12] studied the flow and heat transfer characteristics with linearly and Non-linearly stretching sheet for both Newtonian and Non-Newtonian fluids with internal heat generation/absorption and suction/injection.The study of flow and heat transfer for electrically conducting fluids under the influence of a magnetic field has attracted the interest of many investigators. MHD flows have great significance for the application in the field of satellite and planetary magnetospheres, aeronautics and chemical engineering. Sarpakaya [13] was the first to study the MHD effects on the flow of a non-Newtonian fluid. Pal and Mondal [14,15] and Bataller [30] in the case of a visco elastic liquid flow due to a stretching sheet. The no-slip boundary condition is known as the central tenet of the Navier-Stokes theory. But there are situations wherein such a condition is not approximate. Especially the no-slip condition is insufficient for the most non-Newtonian liquids. The liquids exhibiting boundary slip find applications in technology such as polishing of artificial heart valves and internal cavit...
In this article, we examined the solution of a homogeneously intensified isothermal inclined infinite plate with constant temperature. The plate is elevated to Tw
, and the species accumulation is enhanced at a consistent speed. Under appropriate boundary conditions, the non-dimensional guiding formulae are remedied using the Laplace transform procedure. The effect of velocity, temperature, and concentration on various factors, including thermal and mass Grashof numbers, Schmidt numbers, and duration, is discussed. The velocity increases proportionally to the thermal and mass Grashof numbers, but decreases as the inclined angle, Schmidt numbers and time increase.
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