Transient generalized Taylor – Couette flow with suction and injection: a semi-analytical approach

Purpose The purpose of this study is to the analyze the transient flow formation in a horizontal concentric-porous-annulus due to the combined impact of the sudden application of azimuthal pressure gradient and rotation of horizontal concentric-porous-tubes forming the concentric-porous annulus. Design/methodology/approach The semi-analytical solution of the momentum equation is derived with the aid of a two-step approach. The two-steps process involves solving the governing equations by using the known Laplace technique and Laplace inversion method of the Riemann-sum approximation. Findings During the course of analysis and numerical computations, it is observed that velocity increases from the outer surface of the inner cylinder (R = 1) to the inner surface of the outer cylinder (R = ?) as angular velocity ? increases. It is also found that skin friction decreases as pressure gradient (P) increases in the first half of the annulus and increases with it in the second half of the annulus. Originality/value Owing to the number of researches done on the Taylor–Couette flow, it becomes imperative to investigate the impact of time, suction and injection and angular velocity on the transient Taylor–Couette flow. A semi-analytical solution is presented.