Numerical Study on an Unsteady Flow of an Immiscible Micropolar Fluid Sandwiched between Newtonian Fluids Through a Channel
M. Devakar, Ankush Raje, Shashikant Kumar
Visvesvaraya National Institute of Technology, Nagpur, 440010, India
Keywords: микрополярная жидкость, несмешиваемые жидкости, неустановившееся течение, горизонтальный канал, micropolar fluid, immiscible fluids, unsteady flow, horizontal channel
Abstract
This paper deals with an unsteady flow of a micropolar fluid sandwiched between Newtonian fluids through a horizontal channel. The governing time-dependent partial differential equations are solved numerically by using the Crank-Nicolson finite difference approach. The continuity of velocity and shear stress is considered at the fluid-fluid interfaces. It is observed that the fluid velocities increase with time; eventually, a steady state is reached at a certain time instant. The velocity decreases with increasing micropolarity parameter in the micropolar fluid region and remains almost unchanged in both Newtonian fluid regions.
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