On the stability of the flow over a shrinking cylinder with prescribed surface heat flux


Awaludin, Izyan Syazana and Ahmad, Rokiah and Ishak, Anuar (2020) On the stability of the flow over a shrinking cylinder with prescribed surface heat flux. Propulsion and Power Research, 9 (2). pp. 181-187. ISSN 2212-540X

[img] Text
Restricted to Repository staff only

Download (932kB)


This study investigates the steady stagnation point flow and heat transfer passes a horizontal shrinking permeable cylinder. The free stream velocity and the prescribed surface heat flux are assumed to vary linearly with the distance from a fixed point on the cylinder. The partial differential equations governing the flow and heat transfer are transformed into a system of ordinary differential equations via similarity transformation. These equations are solved numerically for several values of the governing parameters, such as suction parameter s, curvature parameter γ, and shrinking parameter λ. The equations are solved numerically by employing the boundary value problem solver package available in MATLAB software, bvp4c. The effects of the governing parameters on the skin friction coefficient, surface temperature, velocity, and temperature profiles are examined. Given the existence of dual solutions in the present study for a certain range of the curvature parameter, stability analysis is carried out to determine which one of the solutions is stable as time passes. The outcome of the stability analysis demonstrates that only the first solution, with lower boundary layer thickness, appeared to be stable and thus physically reliable, while the other is not. It is also discovered that the boundary layer separation is delayed by reducing the curvature parameter.

Item Type: Article
Uncontrolled Keywords: Heat—Transmission, Stagnation point flow, Heat transfer, Shrinking cylinder, Prescribed surface heat flux, Stability analysis
Subjects: T Technology > TJ Mechanical Engineering and Machinery > TJ255-265 Heat engines
Divisions: Faculty of Management (FOM)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 20 Dec 2020 18:38
Last Modified: 20 Dec 2020 18:38
URII: http://shdl.mmu.edu.my/id/eprint/7882


Downloads per month over past year

View ItemEdit (login required)