Unsteady Convective Boundary Layer Flow and Heat Transfer over a Stretching Surface with Non-Uniform Heat Source/Sink and Thermal Radiation

Pal, Dulal

doi:10.1080/15502287.2015.1030090

Cited by 4 publications

(4 citation statements)

References 38 publications

(41 reference statements)

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“…Study of Eqs. (15) and (16) reveals that the equations become functions of g and k n , if we define k n ðyÞ as [22] k n ¼ y nþ1 q w ðyÞ d nþ1 dy nþ1 ðq w ðyÞÞ: ð21Þ…”

Section: Solutions Of the Equationsmentioning

confidence: 99%

“…After substitution of k n from Eq. (21), the governing equations (15) and (16) are still in the form of partial differential equations. To convert the partial differential equations into ordinary differential equations, the functions f and h are expressed in following power series of k n ðyÞ with coefficients that are functions of g:…”

Section: Solutions Of the Equationsmentioning

confidence: 99%

“…Correlations were presented for average temperature, average Nusselt number and skin friction coefficients for wide ranges of parameters. The effect of thermal radiation and variable heat source or sink on unsteady mixed convection on stretching permeable sheet was studied by Pal [15]. The effect of Prandtl number, buoyancy, radiation and unsteadiness parameters on aiding and opposing mixed convection was studied.…”

Section: Introductionmentioning

confidence: 99%

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Mixed convection heat transfer of water about a vertical surface of variable heat flux with density inversion

Soni

Gavara

2019

Sādhanā

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Laminar mixed convection boundary layer flow of water about a vertical plate is studied including density inversion effects. The plate surface is subjected to an arbitrary heat flux that is a function of vertical distance from the leading edge. Both aiding and opposing mixed convection situations are considered in the study. The dimensionless forms of stream function and temperature are expanded in terms of perturbation elements and universal functions. The differentials of the heat flux, which are functions of vertical distance, are used as perturbation elements to obtain universal functions. The results for universal functions required to find temperature and velocity profiles are obtained. The obtained universal functions are valid for any arbitrary wall heat flux variation. The universal applicability of results is demonstrated for power-law variation of wall heat flux. The velocity and temperature variation, boundary layer thickness, Nusselt numbers and skin friction coefficient are presented for various values of mixed convection parameter, wall flux power index, for both aiding and opposing mixed convection. For a given combination of Grashof and Reynolds numbers, the heat transfer rates and skin friction coefficient are found to increase almost linearly with wall flux power index, in the parameter range of the study, for both the cases of aiding and opposing mixed convection. The present results of special cases are found to match well with the results available in the literature.Keywords. Mixed convection; variable wall heat flux; density inversion of water; heat transfer rates. Sådhanå (2019) 44:80 Ó Indian Academy of Sciences https://doi.org/10.1007/s12046-019-1064-6S adhana(0123456789().,-volV)FT3 ](0123456789().,-volV)

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“…Study of Eqs. (15) and (16) reveals that the equations become functions of g and k n , if we define k n ðyÞ as [22] k n ¼ y nþ1 q w ðyÞ d nþ1 dy nþ1 ðq w ðyÞÞ: ð21Þ…”

Section: Solutions Of the Equationsmentioning

confidence: 99%

Section: Solutions Of the Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mixed convection heat transfer of water about a vertical surface of variable heat flux with density inversion

Soni

Gavara

2019

Sādhanā

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“…The model of thermally radiative flow owing to a curved sheet was presented by Hayat et al [30]. Ample attempts have been made in this regard [31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Numerical computations on flow and heat transfer of Casson fluid due to oscillatory moving surface

et al. 2019

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A numerical study of unsteady hydromagnetic flow of Casson liquid passed through the oscillatory moving surface is presented. The interaction of radiation term is reported in the energy equation. The flow is generated by the rapid movement of elastic surface that stretched back and forth periodically. The number of variables is reduced by introducing dimensionless variables. An implicit technique developed on finite difference algorithm is implemented to the system of PDE. The impact of various parameters like Casson liquid parameter, the oscillation frequency and stretching rate ratio, Hartmann number and effective Prandtl number are shown through various graphs. The observation indicates that the amplitude of the velocity declines by enhancing Casson liquid parameter, oscillation frequency and stretching rate ratio and Hartmann number. The temperature declines by increasing Casson fluid parameter and effective Prandtl number. The results also indicate that the time-series of local Nusselt number increases by enhancing effective Prandtl number.

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Impacts of nonuniform heat source or sink on MHD mixed convection along an exponentially stretching surface

Patil

Hadimani

Shashikant

2018

International Journal for Computational Methods in Engineering

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Unsteady Convective Boundary Layer Flow and Heat Transfer over a Stretching Surface with Non-Uniform Heat Source/Sink and Thermal Radiation

Cited by 4 publications

References 38 publications

Mixed convection heat transfer of water about a vertical surface of variable heat flux with density inversion

Mixed convection heat transfer of water about a vertical surface of variable heat flux with density inversion

Numerical computations on flow and heat transfer of Casson fluid due to oscillatory moving surface

Impacts of nonuniform heat source or sink on MHD mixed convection along an exponentially stretching surface

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