Analogy between thermal and mass diffusion effects of a free convective flow in rectangular enclosure

Ambethkar, V.

doi:10.17512/jamcm.2020.4.01

Cited by 1 publication

(2 citation statements)

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“…To validate the aspect of heat and mass transfer within the horizontal rectangle for distinct fluids such as gases and liquids, we have calculated the average Nusselt and Sherwood numbers (

\overset{Nu}{true}

and

\overset{S h}{true}

) for such fluids which are defined as

\overset{Nu}{true} = \frac{\overset{h}{true} L}{k}

, where

\overset{h}{true}

is the average convection coefficient,

L

is the height of the enclosure, and

k

is the thermal conductivity and

\overset{{italicSh}_{L}}{true} = \frac{\overset{h_{m}}{true} L}{D},

where

\overset{h_{m}}{true}

is the average convection mass transfer coefficient and

D

is the mass diffusivity. The average Nusselt and Sherwood numbers for distinct fluids like gases ( Pr < 1 and Sc < 1) and liquids (

italicPr ≫ 1

and Sc > 1) as considered in Section 4 are calculated by using the empirical correlations for the average Sherwood number suggested by the first author of this study in one of his recently published work 22 . By using these and other existing correlations, we have calculated the average Nusselt and Sherwood numbers for these fluids such as gases ( Pr < 1 and Sc < 1) and liquids ( Pr

≫

1 and Sc > 1) at different Rayleigh numbers in the range of

3 \times 10^{5} \leq {Ra}_{L} \leq 7 \times 10^{9}

and

3 \times 10^{5} \leq {Ra}_{L, M} \leq 7 \times 10^{9}

and analyzed the aspects of heat and mass transfer within the horizontal rectangle.…”

Section: Validation Of Resultsmentioning

confidence: 99%

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Heat and mass transfer analysis of combined convection in a horizontal rectangle

Ambethkar

Basumatary

2021

Heat Trans

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In this study, the heat and mass transfer of combined free and forced convection in the horizontal rectangle is explored. The governing equations together with the boundary conditions are solved numerically by using the finite volume method. The innovative idea in this study is to appropriately modify the Semi‐Implicit Method for Pressure‐Linked Equations algorithm and thereby, the numerical solutions of the flow variables such as the temperature and the concentration in addition to the components of velocity and the pressure are computed. The Richardson numbers (Ri) for distinct gases and liquids are calculated for different Rayleigh numbers at low (Re = 50) and high (Re = 5000) Reynolds numbers. The dimensionless parameters, such as the Reynolds number (Re), the Prandtl number (Pr), and the Schmidt number (Sc) are appropriately chosen to calculate the Richardson numbers. Consequently, combined free and forced convection effects are analyzed. Furthermore, the heat and mass transfer aspect for distinct gases and liquids is critically examined using empirical correlations. The accuracy and the validation of these results are ensured owing to the solutions obtained from correlations being advised in this study and those are existing in the literature.

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“…To validate the aspect of heat and mass transfer within the horizontal rectangle for distinct fluids such as gases and liquids, we have calculated the average Nusselt and Sherwood numbers (

\overset{Nu}{true}

and

\overset{S h}{true}

) for such fluids which are defined as

\overset{Nu}{true} = \frac{\overset{h}{true} L}{k}

, where

\overset{h}{true}

is the average convection coefficient,

L

is the height of the enclosure, and

k

is the thermal conductivity and

\overset{{italicSh}_{L}}{true} = \frac{\overset{h_{m}}{true} L}{D},

where

\overset{h_{m}}{true}

is the average convection mass transfer coefficient and

D

is the mass diffusivity. The average Nusselt and Sherwood numbers for distinct fluids like gases ( Pr < 1 and Sc < 1) and liquids (

italicPr ≫ 1

≫

1 and Sc > 1) at different Rayleigh numbers in the range of

3 \times 10^{5} \leq {Ra}_{L} \leq 7 \times 10^{9}

and

3 \times 10^{5} \leq {Ra}_{L, M} \leq 7 \times 10^{9}

and analyzed the aspects of heat and mass transfer within the horizontal rectangle.…”

Section: Validation Of Resultsmentioning

confidence: 99%

“…Steady free convective flow in a rectangular region with wall heat and concentration sources was studied by Ambethkar and Basumatary 21 . Analogy between thermal and mass diffusion effects of a free convective flow in a rectangular enclosure was investigated by Ambethkar 22 …”

Section: Introductionmentioning

confidence: 99%