Heat transfer in a conical cylinder with porous medium

Salman, Ahmet Bedii; Badruddin, Irfan Anjum; Zainal, Zulkarnain; Khaleed, H. M. T.; Kanesan, Jeevan

doi:10.1016/j.ijheatmasstransfer.2008.12.030

Cited by 111 publications

(11 citation statements)

References 12 publications

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“…The porous medium fixed in a cylindrical geometry can be analyzed as a two-dimensional problem owing to its symmetry and it can be treated as cylindrical cavity (Badruddin et al , 2006a, 2006b, 2006c, 2006d, 2007a, 2007b). The heat transfer behavior of cavity or annulus at hot surface is found to follow a similar trend of decreasing the Nusselt number along the height of cavity as noted by various researchers (Badruddin et al , 2006a, 2006b, 2006c, 2006d, 2007a, 2007b; Ahmed et al , 2009). The trend has been consistent even when the disparity existed among the temperature of solid and fluid phases (Ahmed et al , 2011; Badruddin et al , 2007a, 2007b, 2006a, 2006b, 2006c, 2006d).…”

Section: Introductionsupporting

confidence: 78%

Heat transfer in a porous cavity in presence of square solid block

Nandalur

Kamangar

Badruddin

2019

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Purpose The purpose of this study was to analyze the heat transfer in a square porous cavity that has a solid block placed at its center. The prime focus of this study is to investigate the effect of size of the square solid block and other physical parameters on the heat transfer rate from the hot surface into the porous medium. The left vertical surface of cavity is maintained at a hot temperature and the right vertical surface at a cool temperature, Tc. The finite element method is used to simplify the governing equations and is solved iteratively. It is noted that the size of the solid block plays a vital role in dictating the heat transfer from the hot surface to porous medium. Design/methodology/approach The current work is based on finite element formulation of a square porous cavity that has a solid square block placed at its center. Governing equations were solved iteratively. Findings The size of the solid block has a pronounced effect on the heat transfer behavior inside the porous cavity. Originality/value This study highlights the heat transfer due to a conducting square solid block at mid of porous cavity.

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Section: Introductionsupporting

confidence: 78%

Heat transfer in a porous cavity in presence of square solid block

Nandalur

Kamangar

Badruddin

2019

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“…The viscous dissipation is neglected as it is assumed to be small. Under these assumptions, the governing equations are (see 8–10) subject to the boundary conditions where U W = − ca γ, w W = 2 cz and c is a positive constant. Notice that γ is a constant with γ>0 and γ<0 corresponding to mass suction and mass injection, respectively.…”

Section: Problem Formulation and Equationsmentioning

confidence: 99%

“…Gorla et al 8 studied the problem of combined convection in an axisymmetric stagnation flow of micropolar fluid. Ahmed et al 9 presented a numerical study of heat transfer in a conical annular cylinder fixed with saturated porous medium. The problem of laminar natural convection boundary layer flow on an isothermal vertical thin cylinder embedded in a thermally stratified high porosity medium was studied by Takhar et al 10.…”

Section: Introductionmentioning

confidence: 99%

Thermal stratification and suction/injection effects on flow and heat transfer of micropolar fluid due to stretching cylinder

Mansour

Mohamed

Abdelaziz

et al. 2011

Numer Methods Biomed Eng

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SUMMARYIn this paper, a numerical solution of flow and heat transfer in micropolar fluid outside a stretching permeable cylinder with thermal stratification and suction/injection effects. The governing system of partial differential equations is converted to ordinary differential equations by using similarity transformations, which are then solved using numerical technique. The cases of strong concentration of microelement and weak concentration of microelement were considered. Our purpose from this study is to investigate the effects of the governing parameters, namely the suction/injection parameter, thermal stratification parameter, Prandtl number, vortex viscosity parameter and Reynolds number on the velocity profiles, pressure distributions, angular velocity profiles and temperature profiles as well as the skin friction coefficient, dimensionless wall couple stress and the Nusselt number. The numerical results are validated by favorable comparisons with previously published results. The results are shown graphically. The values of the skin friction coefficient, dimensionless wall couple stress and the Nusselt number are presented in tables.

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“…In this process, one must be aware of two fundamental points: first, it does not calculate exact solutions but approximate ones; second, it discretizes the problem by representing functions by a finite number of values, that is, to move from the “continuous” to the “discrete”. There are numerous methods for the numerical approximation of PDEs, among them, popularly adopted are finite element method (Lewis and Garner, 1972; Strada and Lewis, 1980; Morgan et al , 1984; Tadayon et al ,1987; Ahmed et al , 2011; Ahmed et al , 2009; Badruddin et al , 2006a, 2006b, 2007a, 2007b, 2012a, 2012b, 2012c; Li and Rui, 2015; Sajid et al , 2008; Balla and Kishan, 2015; Wansophark et al , 2005) finite difference method (Achemlal and Sriti, 2015; del Teso, 2014; Oka et al , 1994; Rui and Liu, 2015; Liu and Yuan, 2008; Sheremet and Pop, 2014; Chamkha and Muneer, 2013; Sheremet, 2015) and finite volume method (Dotlić, 2014; Kumar, 2012). These finite element, finite difference and finite volume methods require that each PDE be converted into its equivalent set of algebraic equations that depends on the number of elements into which the physical domain is divided.…”

Section: Introductionmentioning

confidence: 99%

Simplified finite element algorithm to solve conjugate heat and mass transfer in porous medium

Badruddin

Khan

Idris

et al. 2017

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Purpose The purpose of this paper is to highlight the advantages of a simplified algorithm to solve the problem of heat and mass transfer in porous medium by reducing the number of partial differential equations from four to three. Design/methodology/approach The approach of the present paper is to develop a simplified algorithm to reduce the number of equations involved in conjugate heat transfer in porous medium. Findings Developed algorithm/method has many advantages over conventional method of solution for conjugate heat transfer in porous medium. Research limitations/implications The current work is applicable to conjugate heat transfer problem. Practical implications The developed algorithm is useful in reducing the number of equations to be solved, thus reducing the computational resources required. Originality/value Development of simplified algorithm and comparison with conventional method.

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Heat transfer in a conical cylinder with porous medium

Cited by 111 publications

References 12 publications

Heat transfer in a porous cavity in presence of square solid block

Heat transfer in a porous cavity in presence of square solid block

Thermal stratification and suction/injection effects on flow and heat transfer of micropolar fluid due to stretching cylinder

Simplified finite element algorithm to solve conjugate heat and mass transfer in porous medium

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