The onset of double-diffusive convection in a nanofluid saturated porous layer: Cross-diffusion effects

Umavathi, J. C.; Sheremet, Mikhail А.; Ojjela, Odelu; Reddy, G. Janardhan

doi:10.1016/j.euromechflu.2017.01.017

Cited by 41 publications

(20 citation statements)

References 37 publications

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“…Umavathi and Sasso 27,28 also worked including the effects of variable properties. The convective stability for the nanofluid saturated with porous medium was discussed by Umavathi et al 29 Umavathi et al 30 worked on the double-diffusive stability analysis for micropolar nanofluid saturated with porous medium. Numerical study of boundary layer flow over a penetrating surface was discussed by Subhashini et al 31 for double diffusive convection.…”

Section: Introductionmentioning

confidence: 99%

Triple diffusive mixed convection flow in a duct using convective boundary conditions

Umavathi

Ali

Patil

2020

Math Methods in App Sciences

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The motivation of the current article is to explore a numerical investigation on steady triply diffusive convection in a vertical channel. Heat is exchanged from the external fluid with the plates. The reference temperature is taken as equal and also as different for the external fluid. Solutions in the absence of viscous dissipation and buoyancy forces are also obtained as special cases. General solutions including the effects of viscous dissipation and buoyancy forces are obtained analytically using the method of perturbation. The analytical solutions can be used only if the Brinkman number is small. Hence to know the flow properties for all values of Brinkman number, we resort to numerical solutions. The effects of thermal Grashof number, solutal Grashof number, and the chemical reaction parameter on the flow field are evaluated numerically. The obtained results are validated against previously published results for special case of the problems.

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Section: Introductionmentioning

confidence: 99%

Triple diffusive mixed convection flow in a duct using convective boundary conditions

Umavathi

Ali

Patil

2020

Math Methods in App Sciences

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“…Papers concerning the problem on convection in a nanoliquid‐saturated porous medium include Agarwal and Bhadauria, 36 Kuznetsov and Nield, 37 Siddheshwar and Sakshath, 18 Bhadauria and Agarwal, 38 Yadav and Lee, 39 Yadav, 40‐42 Yadav and Wang, 43 Yadav et al, 44‐46 Umavathi et al, 47 Umavathi and Sheremet, 48 Mehryan et al, 49 Izadi et al, 50 Sheremet and Pop, 51 Ghalambaz et al, 52 and many more. The investigation of natural convection in a nanoliquid layer was first carried out by Tzou 33 .…”

Section: Introductionmentioning

confidence: 99%

“…Yadav and Lee 39 investigated the effect of LTNE on the onset of convection in a nanoliquid‐saturated porous medium with zero nanoparticle flux boundary condition. Umavathi et al 47 examined the onset of double‐diffusive convection in a nanoliquid layer. Yadav et al 45 studied the thermal conductivity and viscosity variation on the onset of nanoliquid convection.…”

Section: Introductionmentioning

confidence: 99%

Effect of horizontal pressure gradient on Rayleigh–Bénard convection of a Newtonian nanoliquid in a high porosity medium using a local thermal non‐equilibrium model

Sakshath

Joshi

2020

Heat Trans

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A study of linear and weakly nonlinear stability analyses of Darcy–Brinkman convection in a water–alumina, nanoliquid‐saturated porous layer for stress‐free isothermal boundaries, when the solid and nanoliquid phases are in local thermal nonequilibrium, is conducted. The critical eigenvalue is found using the Galerkin approach. The effect of the pressure gradient, thermal conductivity ratio, interphase heat transfer coefficient, inverse Darcy number, and Brinkman number on the heat transport and onset of convection is examined and represented graphically. The critical values of wavenumber and nanoliquid Rayleigh number are found for different problem parameter values. The effect of increasing the porosity‐modified ratio of thermal conductivity advances the onset of convection and increases the amount of heat transport, whereas the remaining parameters have the opposite impact on the onset of convection and amount of heat transport. The classical results of the local thermal equilibrium case and Darcy–Bénard convection in the presence of pressure gradient are obtained as a limiting case of the present problem.

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“…The applications of chemical reaction in mass transfer are hydrometallurgical industries, polymer producing and nourishment handling. Umavathi et al have studied 3‐dimensional nanofluid in a horizontal layer with Dufor and Soret effects. Hayat et al have considered convective heat transfer of MHD squeezing flow past a riga plate with radiation and chemical reaction.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation analysis of natural convective chemically reacting squeezing flow of Casson fluid between parallel disks with Hall and Ion slip currents

Ramesh

Ojjela

2019

Heat Trans. Asian Res.

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This paper concerns the second law analysis of free convective squeezing flow of a chemically reacting Casson fluid confined between two parallel disks with Hall and Ion slip effects. The upper one is impermeable and the lower disk is porous. The linear momentum, energy balance and mass partial differential equations converted as system of ODEs by similarity transformations and tackled with shooting method via fourth order Runge-Kutta scheme. The impact of various dimensionless geometric and fluid parameters on the velocity fields, temperature and concentration fields, entropy generation and Bejan numbers are studied and presented in the form of pictorially. The present results are correlated with already published outcomes for viscous case and found to be good agreement. The Bejan number of the fluid enhances with Ion slip parameter, whereas the concentration profile of the fluid is decreases with increasing of the Casson fluid parameter. The entropy generation of the fluid is enhanced with Eckert number whereas the Bejan number is decreased with suction/blowing parameter K E Y W O R D S chemical reaction, entropy generation, free convection, Hall and Ion slip effects

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The onset of double-diffusive convection in a nanofluid saturated porous layer: Cross-diffusion effects

Cited by 41 publications

References 37 publications

Triple diffusive mixed convection flow in a duct using convective boundary conditions

Triple diffusive mixed convection flow in a duct using convective boundary conditions

Effect of horizontal pressure gradient on Rayleigh–Bénard convection of a Newtonian nanoliquid in a high porosity medium using a local thermal non‐equilibrium model

Entropy generation analysis of natural convective chemically reacting squeezing flow of Casson fluid between parallel disks with Hall and Ion slip currents

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