Sains Malaysiana 51(8)(2022): 2669-2680

http://doi.org/10.17576/jsm-2022-5108-25

Radiative Non-Coaxial Rotating Flow for Viscous Fluid over Accelerated Disk with MHD and Porosity Effects

(Aliran Beradiasi yang Berputar Tidak Sepaksi bagi Bendalir Likat Melepasi Cakera Bergerak dengan Kesan Magnetohidrodinamik dan Keliangan)

WAN NURA’IN NABILAH NORANUAR¹, AHMAD QUSHAIRI MOHAMAD^1,*, LIM YEOU JIANN¹, SHARIDAN SHAFIE¹ & DENNIS LING CHUANG CHING²

¹Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor Darul Takzim, Malaysia

²Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Seri Iskandar, 32610 Tronoh, Perak Darul Ridzuan, Malaysia

Received: 25 October 2021/Accepted: 25 January 2022

Abstract

An analytical solution to analyze the effects of radiation, magnetic, and permeability in an accelerating non-coaxial rotation phenomenon is not yet reported in the previous studies. Therefore, a radiative mixed convection flow for non-coaxial rotating MHD viscous fluid in a porous medium past an accelerated disk is studied. The fluid motion in this problem is induced by two sources which are rotating and buoyancy force. The dimensional coupled differential equations subjected to initial and accelerated boundary conditions are transformed to the dimensionless equations by utilizing appropriate dimensionless variables. The Laplace transform technique is applied to generate the closed form analytical solution for this problem. The impacts of Prandtl number, Grashof number, radiation, magnetic, porosity, and accelerated parameters on the temperature and velocity fields are illustrated graphically. The velocity and temperature profiles satisfy both the initial and boundary conditions, and the present results are found in accordance to the published work. The velocity is improved with the assistance of acceleration, radiation and porosity, while the implementation of magnetic field causes the opposite effect. Increasing radiation leads to the growth of the thermal boundary layer as well as reducing the heat transmission rate. This result can significantly contribute to the designing of heating systems because the imposition of radiation able to sustain an environment for a specific temperature. The obtained analytical solution can be used to check the correctness of the solution obtained from the numerical and experimental studies.

Keywords: Accelerated disk; heat transfer; Laplace transform; non-coaxial rotation; radiation

Abstrak

Penyelesaian analitik untuk menganalisis kesan radiasi, magnetik dan keliangan dalam fenomena putaran tidak sepaksi yang terpecut belumpernah dilaporkan dalam kajian terdahulu. Oleh itu, aliran olakan campuran beradiasi bagi bendalir likat magnetohidrodinamik yang berputar tidak sepaksi di dalam bahantara berliang melepasi cakera terpecutkan dikaji. Pergerakan bendalir untuk masalah ini adalah disebabkan oleh dua sumber iaitu kesan daya putaran dan daya apungan. Persamaan pembezaan gandingan bermatra tertakluk kepada syarat awal dan syarat sempadan terpecutkan dijelmakan kepada persamaan tak bermatra dengan menggunakan pemboleh ubah tanpa matra yang sesuai. Teknik penjelmaan Laplace digunakan untuk menghasilkan penyelesaian analitik tertutup bagi masalah ini. Kesan nombor Prandtl, nombor Grashof, radiasi, magnet, keliangan dan parameter terpecutkan terhadap profil suhu dan halaju diilustrasikan dalam bentuk graf. Profil halaju dan suhu memenuhi kedua-dua syarat awal dan syarat sempadan dan keputusan kajian ini didapati selari dengan hasil kajian terdahulu. Halaju dipertingkatkan dengan bantuan pecutan, radiasi dan keliangan, manakala kehadiran medan magnet menyebabkan kesan sebaliknya. Peningkatan radiasi membawa kepada pertumbuhan lapisan sempadan haba serta mengurangkan kadar pemindahan haba. Keputusan ini boleh menyumbang dengan ketara dalam mereka bentuk sistem pemanasan kerana pengenalan sinaran mampu mengekalkan persekitaran untuk suhu tertentu. Penyelesaian analitik yang diperoleh boleh digunakan untuk menyemak ketepatan penyelesaian yang diperoleh daripada kajian berangka dan uji kaji.

Kata kunci: Cakera terpecutkan; pemindahan haba, penjelmaan Laplace; putaran tak sepaksi; radiasi

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^*Corresponding author; email: ahmadqushairi@utm.my