Finite-difference analysis of natural convection flow of a viscous fluid in a porous channel with constant heat sources

Rana, M. A.; Qamar, Rashid; Farooq, Asim; Siddiqui, A. M.

doi:10.1016/j.aml.2011.06.003

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…Raptis has considered a two‐dimensional laminar flow over an infinite vertical plate. Taking heat source into account, Rana et al solved the problem of free convection flow in a porous channel. Sacheti and Singh studied the effects of viscous and Darcy dissipations in a convection fluid flow through a rotating vertical porous channel.…”

Section: Introductionmentioning

confidence: 99%

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Kumar

Ojjela

Sastry

2019

Heat Trans. Asian Res.

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The present study focuses on the study of heat transfer in a magnetohydrodynamic double stratification fluid flow through porous channel. In getting the solution of Navier-Stokes equations, we have adapted the similarity transformation technique to convert the partial differential equations into a coupled system of nonlinear ordinary differential equations. We further applied the fourth-order Runge-Kutta method with shooting technique to solve the problem numerically. The results are exhibited via graphs, and the analysis has been addressed for various flow characteristics with respect to the parameters concerned. It is found that thermal stratification enhances both temperature and heat transfer rates, and solutal stratification enhances concentration and mass transfer rates. Concentration decreases with increasing chemical reaction and it increases with stratification. A significant variation is observed between concentration profiles in the presence of stratification. K E Y W O R D S double stratification, magnetohydrodynamic, second-grade fluid, shooting method | INTRODUCTIONConvection with porous boundaries has a significant importance in science and technology. For example, heat exchangers, solar collectors, drying processes, geothermal and oil recoveries, aircraft cabin insulations, and so forth. Raptis 1 has considered a two-dimensional laminar flow over an infinite vertical plate. Taking heat source into account, Rana et al 2 solved the problem of free convection flow in a porous channel. Sacheti and Singh 3 studied the effects of viscous and Darcy dissipations in a convection fluid flow through a rotating vertical porous channel. The effects of heat source and slip on the natural convection oscillatory viscous fluid flow between porous parallel plates with mass transfer are presented by Sharma and Sharma. 4 Job and Gunakala 5 investigated the Joule dissipations on free convective magnetohydrodynamic (MHD) nanofluid flow in a wavy trapezoidal enclosure.As growth rate of cultured species is affected by the variations in temperature and concentration levels of oxygen and hydrogen, so it is very important to have control over the thermal and solutal stratification. This is mostly occurs in ground water reservoirs, oceans, and so forth. Neagu 6 analyzed the effects of double stratifications on the natural convective flow over a wavy channel in the presence of viscous forces along with heat and mass fluxes. Convection in a viscous fluid over thermally stratified porous medium along a vertical plate is discussed by Tewari and Singh. 7 Ibrahim and Makinde 8 employed finite difference method for the problem of boundary layer nanofluid flow with double stratification. Rathish Kumar and Singh 9 noticed the impact of double diffusion on the free convection viscous fluid flow in a thermally stratified vertical porous enclosure.From the above studies, one can analyze the natural convective Newtonian fluids with and without stratification. It is also important to study of the aforementioned properties with non-Newtoni...

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Section: Introductionmentioning

confidence: 99%

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Kumar

Ojjela

Sastry

2019

Heat Trans. Asian Res.

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Heat transfer analysis in thermal entrance region under turbulent flow conditions

Hasan

2012

Asia-Pacific J Chem Eng

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Turbulent heat transfer in the thermal entrance region of the pipe was studied by numerical solution of the energy equation using finite difference technique under different operating conditions. The turbulence effect was accounted for by introducing thermal eddy diffusivity term in the energy equation in both axial and radial directions. The axial and radial temperature profiles, the local heat transfer coefficient in the entrance and fully developed regions, and the entrance lengths were obtained and discussed. In addition, the role of thermal eddy diffusivity in the thermal entrance region and fully developed region was investigated. The finite difference numerical solution was also commented on. The theoretical results were compared with previous experimental works, and a reasonably good agreement was found. It was found that the temperature gradient in axial direction is very steep, close to the leading edge near the pipe's surface and becomes almost negligible after a distance equals few pipe diameters, depending on Reynolds number (Re), Prandtl number (Pr), and heat flux (q). The radial temperature profile was very steep, close to the pipe's surface near the leading edge and becomes almost constant at a very short distance from the pipe surface, depending on Re, Pr, and q. The entrance length (Lt) was found to be reached after 0.5–3.5 pipe diameters distance for the investigated ranges of Re, Pr, and q. Thermal eddy diffusivity plays an important role in axial and radial transport. Ignoring it, causes underestimation in the heat transfer coefficient and overestimation in the entrance length. © 2012 Curtin University of Technology and John Wiley & Sons, Ltd.

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RETRACTED: Heat transfer and circular flow around a hydrodynamic turning point through a porous annular tube

Nganbe

Nyobe

Hona

et al. 2019

Chinese Journal of Physics

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Finite-difference analysis of natural convection flow of a viscous fluid in a porous channel with constant heat sources

Cited by 3 publications

References 7 publications

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Heat transfer analysis in thermal entrance region under turbulent flow conditions

RETRACTED: Heat transfer and circular flow around a hydrodynamic turning point through a porous annular tube

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