Special Session 20: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations

Unsteady analysis of heat transfer and injection--driven flow in a vertical filter chamber
Modisawatsona Lucas ML Lekoko
North West University
So Africa
Co-Author(s):    Modisawatsona Lucas Lekoko, Gabriel Magalakwe, Shina Daniel Oloniiju
Abstract:
The transition between steady and unsteady state regimes plays a vital role during filtration. The current study considers a theoretical investigation of the advancement into an unsteady state regime of flow and heat transfer dynamics in a vertical chamber. The study examines the effects of the time dependent inflow velocity on the internal flow and energy dynamics. Graphical representations of the time evolution of the flow speed, pressure and temperature are analyzed. Also, the impacts of the flow and heat parameters on the skin friction, Nusselt number and average vertical wall pressure are studied. The results indicate that as time evolves, permeates production increases because speed, internal work, and pressure intensify with time. In addition, to aid internal flow, high injection rate, suction rate, Richardson number and Stuart number are ideal during operation because these parameters minimize the overall friction of the filter chambers walls.