Heat transfer on rotating second grade fluid through an accelerated plate
DOI:
https://doi.org/10.11113/mjfas.v13n3.645Keywords:
Free convection, Second grade fluid, Rotating, Accelerated, Laplace transform,Abstract
Heat transfer on an unsteady free convection rotating second grade fluid flow, which is flowing through an accelerated plate, is analyzed. The physical problem investigated is described by a coupled, linear system of partial differential equations, with appropriate boundary conditions. Laplace transform technique is applied to determine the analytical solutions of the dimensionless governing equations. The effects of various embedded parameters to the velocity and temperature distribution in the fluid are graphically illustrated and analyzed. The obtained analytical results constitutes a good verification to verify a more advance situation of the physical problem, which is described by a non-linear system and only can be solved by using approximation method.
References
Hayat, T., Nadeem, S., Siddiqui, A. M., Asghar, S. 2004. An Oscillating Hydromagnetic Non-Newtonian Flow in a Rotating System. Appl Math Lett. 17, 609- 614.
Hayat, T., Fetecau, C., Sajid, M. 2008. Analytic solution for MHD transient rotating flow of a second grade fluid in a porous space. Nonlinear Anal. Real World Appl. 9, 1619 – 1627.
Khan, I., Farhad, A., Sharidan, S., Norzieha, M. 2010. Exact solutions for accelerated flows a rotating second grade fluid in a porous medium. World Appl. Sci. J. 9, 55 – 68.
Faisal, S., Aziz, Z. A., Ching, D. L. C. 2013. On accelerated MHD flows of second grade fluid in a porous medium and rotating frame. Int. J. Appl. Math. 43(3), 1 – 8.
Imran, M. A., Imran, M., Fetecau, C. 2014. MHD oscillating flows of rotating second grade fluids in a porous medium. Communi. Numeric. Analys. 2014, 1 – 12.
Azhar, A. Z., Vieru, D., Shahraz, A. 2015. Magnetohydrodynamics of rotating fractional second grade fluid in a porous medium. J. Prime Res. Math. 10, 45 – 58.
Ismail, Z., Khan, I., Ahmad, Q. M., Sharidan, S. 2015. Second grade fluid for rotating MHD of an unsteady free convection flow in a porous medium. Defect Diffus. Forum. 362, 100 – 107.
Ismail, Z., Khan, I., Awang, R., Nasir, N. M., Salleh, M. Z., Sharidan, S. 2015. Rotation effects on unsteady magnetohydrodynamics second grade fluid flow in a porous medium past an infinite inclined plate. AIP Conf. Proc. 1643, 555 – 562.
Ahmad, Q. M., Khan, I., Ismail, Z., Sharidan, S. 2016. The unsteady free convection flow of rotating second grade fluid over an oscillating vertical plate. Jurnal Teknologi. 78(3 – 2), 57 – 63.
