Convection Heat Transfer in a Channel of Different Cross Section Filled With Porous Media

Saleh, Ahmed A. M.; Rasheed, Suhad A.; Smasem, Rafel B.

doi:10.30572/2018/kje/090205

Cited by 8 publications

(9 citation statements)

References 3 publications

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“…Energy Eqs. (4) and (5) and their associated boundary conditions Eqs. (8) and (10) are also rewritten as:…”

Section: Normalizationmentioning

confidence: 99%

“…where Pr is Prandtl number and Ps is a dimensionless variable similar to Prandtl number appeared in the normalization process of solid-phase energy equation, Eq. (5). Bi is Biot number.…”

Section: Normalizationmentioning

confidence: 99%

“…Studies regarding the thermal characteristics of non-pulsating flow in porous media are more concentrated on heat transfer enhancement in domains filled with porous materials subjected to a heat source at the wall boundaries or internal heat generation. There were abundance of experimental (e.g., [3][4][5][6][7]), numerical (e.g., [8][9][10][11][12]) and theoretical (e.g., [13][14][15][16][17][18][19][20][21][22]) studies, which demonstrated the use of porous material as a promising passive technique in enhancing forced convection heat transfer in different industrial applications in micro-and large scales. Investigations regarding heat transfer of pulsating flow have mostly been conducted in empty (non-porous) channels and pipes (e.g., [23][24][25]).…”

Section: Introductionmentioning

confidence: 99%

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Pulsating flow in a channel filled with a porous medium under local thermal non-equilibrium condition: an exact solution

Nazari

Mahmoudi

2020

J Therm Anal Calorim

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The present work investigates analytically the problem of forced convection heat transfer of a pulsating flow, in a channel filled with a porous medium under local thermal non-equilibrium condition. Internal heat generation is considered in the porous medium, and the channel walls are subjected to constant heat flux boundary condition. Exact solutions are obtained for velocity, Nusselt number and temperature distributions of the fluid and solid phases in the porous medium. The influence of pertinent parameters, including Biot number, Darcy number, fluid-to-solid effective thermal conductivity ratio and Prandtl number are discussed. The applied pressure gradient is considered in a sinusoidal waveform. The effect of dimensionless frequency and coefficient of the pressure amplitude on the system's velocity and temperature fields are discussed. The general shape of the unsteady velocity for different times is found to be very similar to the steady data. Results show that the amplitudes of the unsteady temperatures for the fluid and solid phases decrease with the increase in Biot number or thermal conductivity ratio. For large Biot numbers, dimensionless temperatures of the solid and fluid phases are similar and are close to their steady counterparts. Results for the Nusselt number indicate that increasing Biot number or thermal conductivity ratio decreases the amplitude of Nusselt number. Increase in the internal heat generation in the solid phase does not have a significant influence on the ratio of amplitude-to-mean value of the Nusselt number, while internal heat generation in the fluid phase enhances this ratio. Keywords Porous media • Pulsating flow • Convective heat transfer • Local thermal non-equilibrium • Analytical solution List of symbols a n , a j Time-dependent coefficient a sf Interfacial area per unit volume of porous media (m −1) A A defined function of time A 1 ,A 2 Constant coefficients b m,n Time-dependent coefficient B A defined function of time B 1 ,B 2 Constant coefficients Bi Biot number, Bi = a sf h sf H 2 k s,eff c pf Fluid specific heat (J kg −1 K −1) c ps Solid specific heat (J kg −1 K −1) C Constant parameter, C =

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“…Energy Eqs. (4) and (5) and their associated boundary conditions Eqs. (8) and (10) are also rewritten as:…”

Section: Normalizationmentioning

confidence: 99%

“…where Pr is Prandtl number and Ps is a dimensionless variable similar to Prandtl number appeared in the normalization process of solid-phase energy equation, Eq. (5). Bi is Biot number.…”

Section: Normalizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pulsating flow in a channel filled with a porous medium under local thermal non-equilibrium condition: an exact solution

Nazari

Mahmoudi

2020

J Therm Anal Calorim

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“…The convective heat transfer profile in circular, rectangular, and triangle duct has similar distributions but its values are different about 15% each other. However, the triangle duct has the highest value (Saleh et al, 2018). The heat transfer of nanofluids influenced by the Peclet number in which it increases linearly with the Peclet number (Ting and Hou, 2016).…”

Section: Introductionmentioning

confidence: 98%

Experimental Study of Convective Heat Transfer of Alumina Oxide Nanofluids in Triangle Channel With Uniform Heat Flux

Sahim¹,

Puspitasari²,

Nukman³

2021

Frontiers in Heat and Mass Transfer

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The recent trend application of the nanofluids is used in some industrial equipment such as tube heat exchanger, double pipe exchanger and shell-tube type heat exchanger. The Triangle tubes may be used in the heat exchanger. Thus, this experimental study reports the convective heat transfer performance of the aluminum oxide-water nanofluids flowing in the triangle channel. In this study, the amount of the volume fraction of the Al 2 O 3 used was 0.1 %, 0.2 %, and 0.3 respectively in base-water as the nanofluids and the Reynolds numbers were varied from about 1000 to 7000. The channel was heated by the electric wire coiled along the channel with constant heat flux. The length and the hydraulic diameter of the triangular channel were 750 mm and 7.1 mm respectively. The DC variable speed pump was used to drive the nanofluids in the channel. Five thermocouples were soldered at the outer surface of the channel to measure the surface temperature. At the inlet and outlet of the channel were attached the thermocouples to measure the inlet and the outlet temperature of the nanofluids. The heat absorbed by the fluid was then released in the cooling tower which used an induced draft fan to convince that the nanofluids temperature decreased before entering the inlet section of the channel. The heat transfer characteristics of the nanofluids are compared to that of pure water. The results show that the heat transfer increase with the increase of the Reynolds number and the volume fraction. The increase of heat transfer varies from about 11% to 36%.

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“…This apparatus commonly consists of the tubes that have the function to transfer from fluid flowing inside and the flow flowing at the outside of the tubes. Three types of ducts: circular, rectangle type, and triangle ducts, were tested by Saleh et al [1] to know the heat transfer performance. The ducts were heated at the constant heat flux with an electric current outside the ducts.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of the Convective Heat Transfer From Tubes With Various Cross-Section

et al. 2022

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In heat transfer engineering, most of the tubes of the circular cross-section are used in the heat exchanger application, but the possibilities of using tubes other than circular type are available to enhance the rate of heat transfer. This experimental study presents the heat transfer rate performance of the tubes' difference cross-section; circular, elliptic, square, and triangle tubes. The tubes were heated at uniform heat flux at the outside surface, and the water flowed inside the tubes. The important parameters were measured during the experimentation. The results show that the heat transfer varies with the cross-section type. The triangle and elliptical tube give a higher heat transfer rate than other cross-sections.

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Convection Heat Transfer in a Channel of Different Cross Section Filled With Porous Media

Cited by 8 publications

References 3 publications

Pulsating flow in a channel filled with a porous medium under local thermal non-equilibrium condition: an exact solution

Pulsating flow in a channel filled with a porous medium under local thermal non-equilibrium condition: an exact solution

Experimental Study of Convective Heat Transfer of Alumina Oxide Nanofluids in Triangle Channel With Uniform Heat Flux

Experimental Study of the Convective Heat Transfer From Tubes With Various Cross-Section

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