Universal Journal of Mechanical Engineering Vol. 7(4), pp. 206 - 214
DOI: 10.13189/ujme.2019.070409
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Magnetohydrodynamics (MHD) Flow and Heat Transfer of a Doubly Stratified Nanofluid Using Cattaneo-Christov Model

Najiyah Safwa Khashi'ie ^1,2,*, Norihan Md Arifin ^1,3, Ezad Hafidz Hafidzuddin ⁴, Nadihah Wahi ³, Mohd Rijal Ilias ^5
1 Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
² Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
³ Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
⁴ Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
⁵ Department of Mathematical Sciences, Faculty of Computer and Mathematical Sciences, UiTM Shah Alam, 40450 Shah Alam, Selangor, Malaysia

ABSTRACT

The present study utilized Cattaneo-Christov heat flux model for solving nanofluid flow and heat transfer towards a vertical stretching sheet with the presence of magnetic field and double stratification. Thermal and solutal buoyancy forces are also examined to deal with the double stratification effects. Buongiorno's model of nanofluid is used to incorporate the effects of Brownian motion and thermophoresis. The boundary layer with non-Fourier energy equations are reduced into a system of nonlinear ordinary (similarity) differential equations using suitable transformations and then numerically solved using bvp4c solver in MATLAB software. The local Nusselt and Sherwood numbers of few limited cases are tabulated and compared with the earlier published works. It showed that a positive agreement was found with the previous study and thus, validated the present method. Numerical solutions are graphically demonstrated for several parameters namely magnetic, thermal relaxation, stratifications (thermal and solutal), thermophoresis and Brownian motion on the velocity, temperature and nanoparticles volume fraction profiles. An upsurge of the heat transfer rate was observed with the imposition of the thermal relaxation parameter (Cattaneo-Christov model) whereas the accretion of thermal and solutal stratification parameters reduced the temperature and nanoparticles concentration profiles, respectively.

KEYWORDS
Nanofluid, Stretching Sheet, Cattaneo-Christov Model, Double Stratification

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Najiyah Safwa Khashi'ie , Norihan Md Arifin , Ezad Hafidz Hafidzuddin , Nadihah Wahi , Mohd Rijal Ilias , "Magnetohydrodynamics (MHD) Flow and Heat Transfer of a Doubly Stratified Nanofluid Using Cattaneo-Christov Model," Universal Journal of Mechanical Engineering, Vol. 7, No. 4, pp. 206 - 214, 2019. DOI: 10.13189/ujme.2019.070409.

(b). APA Format:
Najiyah Safwa Khashi'ie , Norihan Md Arifin , Ezad Hafidz Hafidzuddin , Nadihah Wahi , Mohd Rijal Ilias (2019). Magnetohydrodynamics (MHD) Flow and Heat Transfer of a Doubly Stratified Nanofluid Using Cattaneo-Christov Model. Universal Journal of Mechanical Engineering, 7(4), 206 - 214. DOI: 10.13189/ujme.2019.070409.