Lift and Drainage of Electrically Conducting Power Law Fluid on a Vertical Cylinder

Abstract

Abstract:In this work, the theoretical study of steady flow for lift and drainage of Power law MHD fluid on a vertical cylinder is presented. The governing nonlinear differential equation has been derived from the momentum equation. The resulting equation is then solved using Perturbation method. Series solutions have been obtained for velocity, flow rate and average velocity in both cases. The graphical results for velocity profile is discussed and examined for different parameters of interest. Without MHD our problem reduces to well known Newtonian and Power law problem.

Unsteady Drainage of Electrically Conducting Power Law Fluid

“…The results are given in figures (2) - (13). The variation of axial velocity for n, ε, ρ and R for both Newtonian and power law MHD fluid in case of drainage is displayed in figures (2) - (9). From figures (2) - (9), we observed, that with an increase in n, ρ and R, results in increase of velocity profile while the same decreases with increase in ε.…”

“…In our previous work we discussed the theoretical study of steady flow for lift and drainage of Power law MHD fluid on a vertical cylinder. The derived governing nonlinear differential equation has then solved using Perturbation method [9]. Our main focus in this work is the study of thin film flow for a non-Newtonian fluid with MHD fluid properties.…”

Analysis of thin film flow of generalized Maxwell fluid confronting withdrawal and drainage on non-isothermal cylindrical surfaces

“…Consider a steady, uniform thin film of generalized Maxwell fluid draining down over a stationary vertical cylinder. In drainage case, z-axis is in the downward direction and the motion of fluid is due to the gravity as shown in Figure 2 21,22,37 The geometry and assumptions for drainage case are alike as in the preceding case, but the boundary conditions of velocity are changed. Therefore, equations (10) and (11) turn into the following form 23,35,39…”

“…[15][16][17][18][19] Landau and Lifshitz 20 studied the drainage thin film flow phenomena of Newtonian fluids. Over the past few decades, significant attempts have been made by scientists [21][22][23][24] for the establishment of numerical solutions and analytical algorithms of thin film flows. [25][26][27][28] Hayat and colleagues [29][30][31] analyzed the thin film flow by considering differential type fluids in varieties of articles.…”

Analytical Solution of Tank Drainage for Electrically Conducting Power Law Fluid

“…Amid the last four decades, critical advancement has been acknowledged in the improvement of diagnostic arrangement and numerical calculations of power law liquid stream issues [3][4][5].…”