Parametric study of unsteady forced convection with pressure gradient |
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| Affiliation: | 1. Siemens AG, Power and Gas Division, D-45473 Muelheim/Ruhr, Germany;2. Siemens AG, Power and Gas Division, D-10553 Berlin, Germany;1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia;1. Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, USA;2. Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79409, USA;1. Department of Thermal Engineering, Tsinghua University, Beijing, China;2. Faculty of Engineering, University of Nottingham, Nottingham, UK |
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| Abstract: | By an extension of differential method, this paper has successfully examined the unsteady forced convection heat transfer from a flow over a flat plate. Transient state is inherent to a sudden change on the heat flux density at the surface of a plate. The general case where the pressure along the direction of flow is not constant is presented. The differential momentum and heat transfer equations are solved numerically. The results are given for different values of pressure gradient parameter m, in the cases of attached boundary layer, and for several values of Prandtl number corresponding to usual fluids (0.71 ⩽ Pr ⩽ 100). The dependences of transient behaviours with Pr number and parameter m are evidenced from the evolutions in time of temperature profile, Stanton number, and duration of unsteady process. Solutions given from the beginning of transient state to the ultimate steady state are discussed. Moreover, analytical solutions, as function of Pr and m, are deduced for Stanton number and duration of unsteady regime. |
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