Numerical investigation of laminar compressible natural convection flow in asymmetrically and isothermally heated open-ended inclined channel

Talukdar, Deboprasad; Li, Chung-Gang; Tsubokura, Makoto

doi:10.1016/j.ijheatmasstransfer.2018.10.076

Cited by 12 publications

(8 citation statements)

References 31 publications

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“…The above open boundary conditions (Eqs. [16][17][18][19][20] are identical to those proposed in [17,18,22].…”

Section: Problem Descriptionmentioning

confidence: 98%

“…This time stepping combines a second order backward Euler scheme for the diffusion terms, with an explicit second-order Adams-Bashforth extrapolation for the non-linear terms, taking into consideration known pressure field. The formula used in this step reads: (21) As for the second step, the intermediate velocity field is projected onto the subspace of divergence free vector field using the Helmholtz decomposition theorem: (22) It is achieved by taking the divergence of equation giving rise to a Poisson's type equation for the incremental pressure: (23) The last equation is solved with a multigrid algorithm. The main idea of this algorithm is to accelerate the convergence of a basic iterative method by using grids of different mesh sizes ( [27] and [28]).…”

Section: First An Intermediate Velocity Fieldmentioning

confidence: 99%

“…Natural convection in an inclined channel heated asymmetrically, can model this configureuration. In the past, numerous experimental and numerical studies have been carried out to understand the effect of inclination on the thermal performance of inclined channels [15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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Natural convection in inclined channel for air cooling of photovoltaic panels

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Kennich

Balti

et al. 2019

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Reducing the operating temperature of a photovoltaic (PV) module is an effective way to improve efficiency and prevent damage from overheating. The present paper focuses on the study of the effect of inclination on air natural convection in an asymmetrically heated channel (at uniform heat flux), in laminar regime. This configureuration models the passive and natural air-cooling of PV panels by inclined chimneys. The computational procedure solves the unsteady two-dimensional Navier-Stokes and energy equations by a finite volume approach while the projection method decouples the pressure from the velocity. The heat transfer and fluid flow are analyzed for a wide range of modified Rayleigh numbers varying from 102 to 105 and for inclination angles between 15o and 90o with respect to horizontal position. The results show that the mass flow rate and the average Nusselt number increase with the angle of inclination as well as with the modified Rayleigh number. However, a significant reduction in heat transfer rate and induced flow rate is observed for the low angles of inclination. To enhance the cooling of the PV panel, extensions are added at the inlet and outlet of the channel. The simulations show that only the downstream extensions of the channel are effective in improving the induced mass flow rate and therefore the convective heat transfer.

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“…The above open boundary conditions (Eqs. [16][17][18][19][20] are identical to those proposed in [17,18,22].…”

Section: Problem Descriptionmentioning

confidence: 98%

Section: First An Intermediate Velocity Fieldmentioning

confidence: 99%

See 1 more Smart Citation

Natural convection in inclined channel for air cooling of photovoltaic panels

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Kennich

Balti

et al. 2019

ETN

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“…Many thermal systems and thermal devices in which the heated surface is inclined such as cooling systems, solar chimneys and ventilation, in such setups, the inclination angle of the heated surface plays an important role in the study of the convection process. In view of this fact, the authors [40][41][42][43][44][45][46][47][48][49] examined the impacts of the angular location of the heated plane to the different flow systems. Due to more sophistication of modelling and various industrial and scientific involvements, the study of non-Newtonian fluid dynamics became an attractive subject for the research workers.…”

Section: Introductionmentioning

confidence: 99%

Thermo-diffusion impacts on the flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall

Singh

Seth

2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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The focus is in this article is to scrutinize the simultaneous significances of magnetic diffusion, thermo-diffusion and angular location on the hydromagnetic flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall. The flow medium is considered to be uniformly permeable (Darcy-Brinkman porous medium) and the flow of the fluid is considerably affected due to the appearance of a strong magnetic field in the direction normal to the flow surface. The significances of Hall current, induced magnetic field and Coriolis force on flow nature is also included in the study. The leading non-dimensionalized equations are explored by regular perturbation analysis. Ultimately, the expressions for velocity field, induced magnetic field, temperature and concentration are obtained. We further derived the surface skin friction, surface current density, heat and mass fluxes. The computation of results is performed with the aid of Mathematica software and results are presented in graphical and tabular forms for distinct flow impacting parameters. Numerical simulation explores that mass diffusion factor brings growth in the fluid velocity, temperature and normal induced magnetic field while it reduces the main induced magnetic field. Magnetic diffusion develops the primary flow and primary induced magnetic field and lessens the normal flow and normal induced magnetic field. Inclination angle of the heated plane upgrades primary induced magnetic field while downgrading normal induced magnetic field.

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“…In many industrial applications such as solar chimneys, ventilation devices and cooling systems where the heated surfaces are inclined, the angular location is important to study the convective heat transfer. Considering this fact into account Cimpean and Pop [37], Kumari and Radhakrishnamacharya [38], Srinivasacharya and Bindu [39], Hayat et al [40], Mondal et al [41], Ramesh Katta and Dewakar [42], Talukdar et al [43], Garcia et al [44], Raju et al [45], Sharma et al [46], Ngiangia and Jim-George [47], Noreen et al [48], Etzold et al [49] and Singh and Vishwanath [50] discussed the effect of angular location of the heated surface to the convective heat and mass transfer flows.…”

Section: Introductionmentioning

confidence: 99%

Hall and induced magnetic field effects on convective flow of viscoelastic fluid within an inclined channel with periodic surface conditions

Singh

Vishwanath

2020

International Journal of Thermofluid Science and Technology

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This paper is concerned with the analytical study of the convective flow of a viscoelastic electrically conducting fluid within an inclined channel bounding a porous regime with Hall and induced magnetic field effects. An external magnetic field of high intensity is applied in the direction normal to the inclined surface. The left inclined surface of the channel is considered to be non-magnetic while the right inclined surface is assumed to be magnetized. Suitable non-dimensional transformations are used to reduce the problem to a similar non-dimensional problem. The resulting flow governing equations are solved analytically. The consequences of various flow influencing parameters to the flow variables are numerically computed and presented in graphical and tabular form. It is interesting to note that the growth in angle of inclination reduces the induced magnetic field in the left half of the channel while this effect is opposite in the vicinity of the right inclined surface due to magnetization of this surface.

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Numerical investigation of laminar compressible natural convection flow in asymmetrically and isothermally heated open-ended inclined channel

Cited by 12 publications

References 31 publications

Natural convection in inclined channel for air cooling of photovoltaic panels

Natural convection in inclined channel for air cooling of photovoltaic panels

Thermo-diffusion impacts on the flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall

Hall and induced magnetic field effects on convective flow of viscoelastic fluid within an inclined channel with periodic surface conditions

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