Boundary layer flow and heat transfer over a permeable shrinking cylinder with surface mass transfer

Abstract

In the present paper, the axisymmetric boundary layer flow and heat transfer past a permeable shrinking cylinder subject to surface mass transfer is studied. The similarity transformations are adopted to convert the governing partial differential equations for the flow and heat transfer into the nonlinear self-similar ordinary differential equations and then solved by a finite difference method using the quasilinearization technique. From the current investigation, it is found that the velocity in the boundary layer region decreases with the curvature parameter and increases with suction mass transfer. Moreover, with the increase of the curvature parameter, the suction parameter and Prandtl number, the heat transfer is enhanced.

Viscous flow over a stretching (shrinking) and porous cylinder of non-uniform radius

“…All such models recovered by focusing and adjusting the parameters of the current model accordingly. The final problem is formed using a set of generalized transformations and the results of Wang, 2 Ishak et al, 3 and Bhattacharyya and Gorla 6 are recovered for specific values of parameters. The solution of equations (6)- (8) is obtained with the help of a numerical scheme and the effects of all parameters on field quantities are observed.…”

“…We have retrieved the equations and numerical solution of Bhattacharyya and Gorla 6 in Figure 1(a) for…”

“…The modeled problem of Bhattacharyya and Gorla 6 is retrieved as a special case for fixed values of the parameters (i.e. t 1 = 0, M 1 =À 1=(2gn 1 ), and…”

Boundary layer flow of a copper-water nanofluid over a permeable shrinking cylinder with homogenous-hetrogenous reactions: Dual solutions

“…The set of transformed non-linear eqs. (12), (13), and (18) along with the boundary conditions (16) and (19) were solved numerically using the bvp4c code from MATLAB. To clearly realize physical insight for boundary-layer flow of a nanofluid in presence of homogeneous-heterogeneous reactions, the obtained numerically results for the skin friction coefficient The effect of curvature, γ , on the velocity, temperature and concentration profiles are depicted in figs.…”

“…In other paper, Mukhopadhyay [15] investigated the MHD boundary-layer flow and heat transfer over a stretching cylinder with partial slip effect. The effect of mass suction on the flow and heat transfer towards a shrinking cylinder was studied by Bhattacharyya [16]. Najib et al [17] investigated the effect of chemical reaction on the flow with mass transfer near a stagnation point over a stretching/shrinking cylinder with chemical reaction.…”