Heat and fluid flow of water and ethylene-glycol based Cu-nanoparticles between two parallel squeezing porous disks: LSGM approach

Usman, Muhammad; Hamid, Muhammad; Haq, Rizwan Ul; Wang, Wei

doi:10.1016/j.ijheatmasstransfer.2018.03.030

Cited by 50 publications

(26 citation statements)

References 30 publications

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“…These outcomes have important applications in science and engineering; examples boiler water tubes, liquid‐metal lubrication, include nuclear reactors, compression pumping of heart, flow through arteries, and food processing and so on …”

Section: Discussionmentioning

confidence: 99%

“…We have considered coordinates system ( r , ϕ , z ) in the cylindrical, where the lower disk is stationary and upper one is moving with velocity

a H {(1 - a t)}^{- 1 / 2} / 2

away or towards from lower disk as shown in the “Figure ” and the rotational symmetry of the flow so

\partial / \partial ϕ = 0

. The governing partial differential equations of unsteady free convective Casson fluid flow with Hall and Ion slip effects as follows:

\frac{\partial u}{\partial r} + \frac{u}{r} + \frac{\partial w}{\partial z} = 0.

ρ (\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial r} + w \frac{\partial u}{\partial z}) = - \frac{\partial p}{\partial r} + μ true(1 + \frac{1}{β} true) (\frac{\partial^{2} u}{\partial r^{2}} - \frac{u}{r^{2}} + \frac{\partial^{2} u}{\partial z^{2}} + \frac{1}{r} \frac{\partial u}{\partial r}) + - \frac{σ B_{0}^{2}}{false(α_{e}^{2} + β_{e}^{2} false)} false(u α_{e} + w β_{e} false) + ρ g β_{C} false(C - C_{0} false) + ρ g β_{T} false(T - T_{0} false) .

ρ (\frac{\partial w}{\partial t} + w \frac{\partial w}{\partial z} + u \frac{\partial w}{\partial r}) = - \partial p

…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Ojjela et al have investigated entropy generation analysis of an squeezing flow of MHD Casson fluid confined between parallel plates and concluded that temperature is enhanced with Prandtl number. Usman et al have analyzed water and ethylene glycol as base fluids with copper (Cu) nanoparticles confined between squeezed parallel disks and nondimensional flow field equations are solved with least square Galerkin method. Hayat et al have examined transportation of heat in squeezing viscous fluid flow confined between parallel disks.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Discussionmentioning

confidence: 99%

“…We have considered coordinates system ( r , ϕ , z ) in the cylindrical, where the lower disk is stationary and upper one is moving with velocity

a H {(1 - a t)}^{- 1 / 2} / 2

away or towards from lower disk as shown in the “Figure ” and the rotational symmetry of the flow so

\partial / \partial ϕ = 0

. The governing partial differential equations of unsteady free convective Casson fluid flow with Hall and Ion slip effects as follows:

\frac{\partial u}{\partial r} + \frac{u}{r} + \frac{\partial w}{\partial z} = 0.

ρ (\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial r} + w \frac{\partial u}{\partial z}) = - \frac{\partial p}{\partial r} + μ true(1 + \frac{1}{β} true) (\frac{\partial^{2} u}{\partial r^{2}} - \frac{u}{r^{2}} + \frac{\partial^{2} u}{\partial z^{2}} + \frac{1}{r} \frac{\partial u}{\partial r}) + - \frac{σ B_{0}^{2}}{false(α_{e}^{2} + β_{e}^{2} false)} false(u α_{e} + w β_{e} false) + ρ g β_{C} false(C - C_{0} false) + ρ g β_{T} false(T - T_{0} false) .

ρ (\frac{\partial w}{\partial t} + w \frac{\partial w}{\partial z} + u \frac{\partial w}{\partial r}) = - \partial p

…”

Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…Aab et al 5 investigated the nanoconned phase change materials for thermal energy applications. Far along [6][7][8][9][10][11][12] noticed that the nanoparticles are the source of variations in heat transfer. It is important to note that during these attempts uniform distributions of nanoparticles are assumed throughout the ow regime.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of oscillatory oblique stagnation point flow of a magneto micropolar nanofluid

et al. 2019

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“…Amirsom et al analyzed MHD nanofluid bioconvection on the computation of melting dissipative with second‐order slip and also Beg et al discussed Stefan blowing effects on anisotropic slip magneto bioconvection flow of rotating cone with nanofluid. The most recent literatures are…”

Section: Introductionmentioning

confidence: 99%

Tangent hyperbolic nanofluid with mixed convection flow: An application of improved Fourier and Fick's diffusion model

Ibrahim

Gizewu

2019

Heat Trans. Asian Res.

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This article presents a tangent hyperbolic fluid with the effect of the combination of forced and natural convection flow of nanoparticle past a bidirectional extending surface. Modified Fick's and Fourier's diffusion theories are incorporated into concentration and energy equations, respectively. Convective boundary conditions and second-order slip flow are taken in the boundary condition. Nonlinear partial differential equations result after boundary layer approximations of the mathematical formulation of the flow problem. Nonlinear high order ordinary differential equations (ODEs) are formed by applying similarity transformation on the nonlinear partial differential equations. The transformed equations are solved with the bvp4c algorithm from Matlab. The numerical solution of ODEs was obtained and the effect of interesting parameters, dimensionless velocity com-ponent along x-and y-axis, temperature, and concentration particle, Re x , Re y , Nu x , and Sh x , were presented through tables and graphs and discussed thoroughly. The results indicated that a decrease in velocity along with the y-axis results from the increasing behavior of S, M, and n. Decrease in both temperature and concentration results in an increase of α but their elongation is a result of increase in Bi. An increase in concentration results in decrease of N and S but a decrease in concentration results in the widening of Sc, Nb, and λ. Furthermore, enlargement of f − ″(0) and g − ″(0) results in increase of α and modules γ and elongation of both f − ″(0) and g − ″(0) results in increase of δ e and (Sc and Nb), respectively. A comparison with previously published literature was performed and a good agreement was found. K E Y W O R D S Cattaneo-Christov heat flux model, mixed convection, nanofluid, second-order slip, tangent hyperbolic fluid, three-dimension flow

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Heat and fluid flow of water and ethylene-glycol based Cu-nanoparticles between two parallel squeezing porous disks: LSGM approach

Cited by 50 publications

References 30 publications

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

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

Numerical simulation of oscillatory oblique stagnation point flow of a magneto micropolar nanofluid

Tangent hyperbolic nanofluid with mixed convection flow: An application of improved Fourier and Fick's diffusion model

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