|
|||||
|
|
Effects of double stratification and heat flux damping on convective flows over a vertical cylinder |
|
| Institution: | 1. Department of Mathematics, Lahore Leads University, Lahore, Pakistan;2. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan;3. Department of Theoretical Mechanics, Technical University of Iasi, Romania;4. Academy of Romanian Scientists, 050094 Bucharest, Romania;1. Centre de Développement des Technologies Avancées, CDTA - Laser Material Processing Team, PO. BOX 17 Baba-Hassen, Algiers 16303, Algeria;2. Laboratoire d''Etude des Matériaux & Instrumentations Optiques, Faculté des Sciences Exactes, Université Djillali Liabes de Sidi Bel Abbes, Sidi Bel Abbes 22000, Algeria;3. Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam;4. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;5. Nanotechnology and Catalysis Research Center (NANOCAT), University of Malaya, Kuala Lumpur 50603, Malaysia;6. Department of Instrumentation and Control Engineering, Faculty of Mechanical Engineering, CTU in Prague, Technicka 4, Prague 6 166 07, Czech Republic;7. Physics department, College of Science, Basrah University, Basrah, Iraq;8. Iraq University College (IUC), Al-Estiqlal St., Basrah, Iraq |
| Abstract: | Unsteady free convection flows of viscous fluids over a vertical circular cylinder are investigated by taking in consideration thermal and mass stratification and the thermal memory effects. The mathematical model of thermal transport is based on the fractional generalized Fourier's law for thermal flux with the kernel of power-law kind. In this model the histories of the temperature gradient influence the thermal and mass transport process and the fluid motion. On the cylinder's surface the temperature (or the thermal flux) and solute concentration are constant. Solutions in the transformed domain for the perturbation temperature and concentration and fluid velocity are determined using the Laplace transform coupled with the classical method for the ordinary non-homogeneous differential equations. The inverse Laplace transforms are obtained numerically by employing the Stehfest's algorithm. Solutions for the case corresponding to classical Fourier's law are obtained as particular case of general solutions by taking the memory parameter equal to zero. The influence of the thermal memory and of thermal and mass stratifications is numerically and graphically analyzed by using the software Mathcad 15. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |