Sains Malaysiana 43(3)(2014): 483–489

Axisymmetric Slip Flow on a Vertical Cylinder with Heat Transfer

(Aliran Gelincir Simetri Sepaksi pada Silider Menegak dengan Pemindahan Haba)

GURMINDER SINGH¹* & OLUWOLE DANIEL MAKINDE²

¹Birla Institute of Technology (Ranchi), Ext. Center Jaipur, 27 Malviya Industrial Area

Jaipur-302017, India

²Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395

South Africa

Received: 19 January 2013/Accepted: 12 June 2013

ABSTRACT

The paper is aimed at studying fluid flow heat transfer in the axisymmetric boundary layer flow of a viscous incompressible fluid, along the axial direction of a vertical stationary isothermal cylinder in presence of uniform free stream with momentum slip. The equations governing the flow i.e. continuity, momentum and energy equation are transformed into non-similar boundary layer equations and are solved numerically employing asymptotic series method with Shanks transformation. The numerical scheme involves the Runge-Kutta fourth order scheme along with the shooting technique. The flow is analyzed for both assisting and opposing buoyancy and the effect of different parameters on fluid velocity, temperature distribution, heat transfer and shear stress parameters is presented graphically.

Keywords: Cylindrical surface; heat transfer; non-similarity solution; Runge-Kutta method; shear stress; slip flow

ABSTRAK

Makalah ini bertujuan untuk mengkaji pemindahan haba aliran bendalir dalam aliran lapisan sempadan simetri sepaksi bagi suatu bendalir likat tak termampat, sepanjang arah paksi sebuah silinder isoterma pegun tegak yang berdiri dalam kehadiran strim bebas seragam dengan gelincir momentum. Persamaan yang mengawal aliran contohnya persamaan keselanjaran, persamaan momentum dan persamaan tenaga dijelmakan kepada persamaan lapisan sempadan tak serupa dan diselesaikan secara berangka menggunakan kaedah siri berasimptot dengan penjelmaan Shanks. Skim berangka tersebut melibatkan skim tertib keempat Runge-Kutta dan juga teknik penembakan. Aliran dianalisis daripada dua aspek dalam membantu dan melawan keapungan dan kesan ke atas halaju bendalir akibat parameter yang berbeza: Taburan suhu, pemindahan haba dan parameter tegasan ricih dipersembahkan secara grafik.

Kata kunci: Aliran gelincir; kaedah Runge-Kutta; pemindahan haba; permukaan silinder; persamaan tak serupa; tegasan ricih

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*Corresponding author; email: garry_mal@yahoo.com