Universal Journal of Mechanical Engineering Vol. 7(6C), pp. 32 - 36
DOI: 10.13189/ujme.2019.071605
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Natural Heat Transfer Phenomenon in MHD Fractional Second Grade Fluid

Salah Uddin ^1,*, Mahathir Mohamad ¹, Mahmod Abd Hakim Mohmad ², Obaid Ullah Mehmood ³, MGhazali Kamardan ¹, Rozaini Roslan ^1
1 Department of Mathematics and Statistics, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, Malaysia
² Department of Mechanical Engineering, Faculty of Diploma Study Centre, Universiti Tun Hussein Onn Malaysia, Malaysia
³ Department of Mathematics, Comsats University Islamabad, Pakistan

ABSTRACT

This paper aims at the heat transfer phenomenon and the effect of magnetic field on the second-grade fluid in a vertical oscillating cylinder. By applying a perpendicular magnetic field, the fluid gets magnetized. Fractional MHD flow was modeled with Caputo-Fabrizio non-integer derivative approach. Exact solution of the governing equations was obtained by Laplace and finite Hankel transforms. Mathematical computations and graphical plots were used to investigate the quantitative effects of emerging dimensionless physical parameters on the second-grade fluid flow, such as magnetic field and Prandtl number.

KEYWORDS
Magnetized Solution, Buoyancy Forces, Non-integer Derivative, Conventional Fluid, Fractional Fluid

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Salah Uddin , Mahathir Mohamad , Mahmod Abd Hakim Mohmad , Obaid Ullah Mehmood , MGhazali Kamardan , Rozaini Roslan , "Natural Heat Transfer Phenomenon in MHD Fractional Second Grade Fluid," Universal Journal of Mechanical Engineering, Vol. 7, No. 6C, pp. 32 - 36, 2019. DOI: 10.13189/ujme.2019.071605.

(b). APA Format:
Salah Uddin , Mahathir Mohamad , Mahmod Abd Hakim Mohmad , Obaid Ullah Mehmood , MGhazali Kamardan , Rozaini Roslan (2019). Natural Heat Transfer Phenomenon in MHD Fractional Second Grade Fluid. Universal Journal of Mechanical Engineering, 7(6C), 32 - 36. DOI: 10.13189/ujme.2019.071605.