An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented.
Published in |
American Journal of Applied Mathematics (Volume 3, Issue 3-1)
This article belongs to the Special Issue Proceedings of the 1st UMT National Conference on Pure and Applied Mathematics (1st UNCPAM 2015) |
DOI | 10.11648/j.ajam.s.2015030301.12 |
Page(s) | 6-13 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2015. Published by Science Publishing Group |
Free Convection, Shear Stress, Rotating Fluid, Viscous Flow, Isothermal Vertical Plate
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APA Style
M. A. Imran, Shakila Sarwar, D. Vieru, M. Nazar. (2015). General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid. American Journal of Applied Mathematics, 3(3-1), 6-13. https://doi.org/10.11648/j.ajam.s.2015030301.12
ACS Style
M. A. Imran; Shakila Sarwar; D. Vieru; M. Nazar. General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid. Am. J. Appl. Math. 2015, 3(3-1), 6-13. doi: 10.11648/j.ajam.s.2015030301.12
AMA Style
M. A. Imran, Shakila Sarwar, D. Vieru, M. Nazar. General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid. Am J Appl Math. 2015;3(3-1):6-13. doi: 10.11648/j.ajam.s.2015030301.12
@article{10.11648/j.ajam.s.2015030301.12, author = {M. A. Imran and Shakila Sarwar and D. Vieru and M. Nazar}, title = {General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid}, journal = {American Journal of Applied Mathematics}, volume = {3}, number = {3-1}, pages = {6-13}, doi = {10.11648/j.ajam.s.2015030301.12}, url = {https://doi.org/10.11648/j.ajam.s.2015030301.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030301.12}, abstract = {An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented.}, year = {2015} }
TY - JOUR T1 - General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid AU - M. A. Imran AU - Shakila Sarwar AU - D. Vieru AU - M. Nazar Y1 - 2015/06/09 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.s.2015030301.12 DO - 10.11648/j.ajam.s.2015030301.12 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 6 EP - 13 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.s.2015030301.12 AB - An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented. VL - 3 IS - 3-1 ER -