UNSTEADY ROTATIONAL MOTION OF A MICROPOLAR FLUID INSIDE A RIGHT CIRCULAR CYLINDER USING STATE SPACE APPROACH

Authors

Sarah Ahmad Slayi S.A.Slayi, PhD Candidate , Faculty of Science , Beirut Arab University, Beirut, LebanonFollow
Emad Ashmawy, Associate Professor, Faculty of Science, Beirut Arab University, Beirut, LebanonFollow

Keywords

Micropolar fluid, Rotational motion, State Space approach, Laplace transform, Unsteady flow

Disciplines

Architecture | Business | Engineering | Physical Sciences and Mathematics

Abstract

In this work, the unsteady rotational motion of an incompressible micropolar fluid inside a right circular cylinder is investigated. The classical no-slip and no-spin boundary conditions are proposed. The problem is solved analytically using the state space approach together with Laplace transform technique. The inverse Laplace transform is carried out numerically using a numerical technique based on Fourier series expansion. Numerical results for the flow field functions are represented graphically for different values of the time and micropolarity parameters.

Recommended Citation

Slayi, Sarah Ahmad S.A.Slayi and Ashmawy, Emad (2021) "UNSTEADY ROTATIONAL MOTION OF A MICROPOLAR FLUID INSIDE A RIGHT CIRCULAR CYLINDER USING STATE SPACE APPROACH," BAU Journal - Science and Technology: Vol. 2: Iss. 2, Article 1.
DOI: https://doi.org/10.54729/2706-784X.1026

ISSN

2706-784X