Unsteady Drainage of Electrically Conducting Power Law Fluid

Abstract

Abstract:In this paper, the thin film flow of a power law MHD fluid on a vertical cylinder for a drainage problem has been studied. The nonlinear differential equation has been derived from the momentum equation by Jeffrey's approach. Series solutions have been obtained for velocity, flow rate and thickness of the fluid film by Perturbation method. The graphical results for velocity profile and thickness of the film are discussed and examined for different parameters of interest. Without MHD our problem reduces to well known Newtonian and power law problem.

Series Solution of Unsteady Tank Drainage for Third Order Fluid using Adomian Decomposition Method

“…Now tanks are made with various materials such as cement, plastic and with metals which ensure the efficient distribution and supply of fluid to the desired place. Different shapes of tank are studied cylindrical, circular, triangular and square with different fittings which allow numerous flows such as side drainage, top drainage, multiple drainage points specialized drainage and bottom drainage [16,19]. In this study cylindrical tank drainage system is considered in which spacial class of non-Newtonian fluid is considered.…”

“…In this study cylindrical tank drainage system is considered in which spacial class of non-Newtonian fluid is considered. It is noted that not at all non-Newtonian fluids have all the properties of the non-Newtonian fluids but third order fluid fulfill this requirement [4,19,26].…”

Exact Solution of Tank Drainage for Bingham Fluid flow circular tube

“…A fluid is any material that deforms continuously under the action of shearing force." A Fluid is classified into main three classes as Newtonian, Non-Newtonian and in-viscid fluid: viscid, it is viscous and sticky, which provides great resistance to motion, Newtonian which possess a constant viscosity no matter the applied stress or shear rate and non-Newtonian fluids [10,13,14].…”

The hydrodyanamics of gravity-driven vessel drainage of third order fluid using perturbation method

“…The study of third-order fluid flow problems yields much scientific insight into elastic phenomena and a better knowledge of the mathematical processes needed to solve nonlinear viscoelastic problems. Using Navier-Stokes equations here raises a nonlinear partial differential equation which is someway complicated to solve by exact or numerical methods that's why in this study Perturbation technique is applied to attain the analytical solution of the proposed problem; Perturbation reduces the nonlinear partial differential equation into the linear and nonlinear equation on order basis [ [12] , [13] , [14] ]. Here perturbation is truncated up to the second order.…”