Unsteady MHD Mixed Convection Flow of Chemically Reacting Micropolar Fluid between Porous Parallel Plates with Soret and Dufour Effects

Ojjela, Odelu; Kumar, N. Naresh

doi:10.1155/2016/6531948

Cited by 2 publications

(4 citation statements)

References 23 publications

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“…According to

u (x, λ, t) = true(\frac{U_{0}}{a} - \frac{V_{1} x}{h} true) f^{/} (λ) e^{i ω t},

v (x, λ, t) = V_{1} f (λ) e^{i ω t},

T (x, λ, t) = true(T_{1} + \frac{μ V_{1}}{ρ h c} true(ϕ_{1} (λ) + {(\frac{U_{0}}{a V_{1}} - \frac{x}{h})}^{2} ϕ_{2} (λ) true) true) e^{i ω t},

C (x, λ, t) = true(C_{1} + \frac{\overset{n_{A}}{true}}{h υ} true(g_{1} (λ) + {(\frac{U_{0}}{a V_{1}} - \frac{x}{h})}^{2} g_{2} (λ) true) true) e^{i ω t},

where

λ = y / h

U_{0}

‐average velocity at entrance,

a = V_{2} / V_{1} - 1

, that is, suction/injection ratio,

…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Therefore, the boundary conditions on the velocity, temperature, and concentration are

u = 0, v = V_{1} e^{i ω t}, T = T_{1} e^{i ω t}, C = C_{1} e^{i ω t} at λ = 0,

u = 0, v = V_{2} e^{i ω t}, T = T_{2}^{*} (x) e^{i ω t}, C = C_{2}^{*} (x) e^{i ω t} at λ = 1,

where

T_{2}^{*}

and

C_{2}^{*}

are thermal and solutal stratifications at the upper plate given by

T_{2}^{*} true(x true) = T_{2} + d_{1} x, C_{2}^{*} true(x true) = C_{2} + d_{2} x .

…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…The natural convection flow of the micropolar fluid over a vertical plate with the double stratification effects was examined by Srinivasacharya and Ram Reddy, who studied the effects of double stratification in a micropolar fluid. The extension to the above problem with MHD and heat source was considered by Mishra et al Ojjela and Naresh discussed the impact of Soret and Dufour numbers in a mixed convection micropolar fluid flow between parallel plates with periodic suction and injection.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Kumar

Ojjela

Sastry

2019

Heat Trans. Asian Res.

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The present study focuses on the study of heat transfer in a magnetohydrodynamic double stratification fluid flow through porous channel. In getting the solution of Navier-Stokes equations, we have adapted the similarity transformation technique to convert the partial differential equations into a coupled system of nonlinear ordinary differential equations. We further applied the fourth-order Runge-Kutta method with shooting technique to solve the problem numerically. The results are exhibited via graphs, and the analysis has been addressed for various flow characteristics with respect to the parameters concerned. It is found that thermal stratification enhances both temperature and heat transfer rates, and solutal stratification enhances concentration and mass transfer rates. Concentration decreases with increasing chemical reaction and it increases with stratification. A significant variation is observed between concentration profiles in the presence of stratification. K E Y W O R D S double stratification, magnetohydrodynamic, second-grade fluid, shooting method | INTRODUCTIONConvection with porous boundaries has a significant importance in science and technology. For example, heat exchangers, solar collectors, drying processes, geothermal and oil recoveries, aircraft cabin insulations, and so forth. Raptis 1 has considered a two-dimensional laminar flow over an infinite vertical plate. Taking heat source into account, Rana et al 2 solved the problem of free convection flow in a porous channel. Sacheti and Singh 3 studied the effects of viscous and Darcy dissipations in a convection fluid flow through a rotating vertical porous channel. The effects of heat source and slip on the natural convection oscillatory viscous fluid flow between porous parallel plates with mass transfer are presented by Sharma and Sharma. 4 Job and Gunakala 5 investigated the Joule dissipations on free convective magnetohydrodynamic (MHD) nanofluid flow in a wavy trapezoidal enclosure.As growth rate of cultured species is affected by the variations in temperature and concentration levels of oxygen and hydrogen, so it is very important to have control over the thermal and solutal stratification. This is mostly occurs in ground water reservoirs, oceans, and so forth. Neagu 6 analyzed the effects of double stratifications on the natural convective flow over a wavy channel in the presence of viscous forces along with heat and mass fluxes. Convection in a viscous fluid over thermally stratified porous medium along a vertical plate is discussed by Tewari and Singh. 7 Ibrahim and Makinde 8 employed finite difference method for the problem of boundary layer nanofluid flow with double stratification. Rathish Kumar and Singh 9 noticed the impact of double diffusion on the free convection viscous fluid flow in a thermally stratified vertical porous enclosure.From the above studies, one can analyze the natural convective Newtonian fluids with and without stratification. It is also important to study of the aforementioned properties with non-Newtoni...

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“…According to

u (x, λ, t) = true(\frac{U_{0}}{a} - \frac{V_{1} x}{h} true) f^{/} (λ) e^{i ω t},

v (x, λ, t) = V_{1} f (λ) e^{i ω t},

T (x, λ, t) = true(T_{1} + \frac{μ V_{1}}{ρ h c} true(ϕ_{1} (λ) + {(\frac{U_{0}}{a V_{1}} - \frac{x}{h})}^{2} ϕ_{2} (λ) true) true) e^{i ω t},

C (x, λ, t) = true(C_{1} + \frac{\overset{n_{A}}{true}}{h υ} true(g_{1} (λ) + {(\frac{U_{0}}{a V_{1}} - \frac{x}{h})}^{2} g_{2} (λ) true) true) e^{i ω t},

where

λ = y / h

U_{0}

‐average velocity at entrance,

a = V_{2} / V_{1} - 1

, that is, suction/injection ratio,

…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Therefore, the boundary conditions on the velocity, temperature, and concentration are

u = 0, v = V_{1} e^{i ω t}, T = T_{1} e^{i ω t}, C = C_{1} e^{i ω t} at λ = 0,

u = 0, v = V_{2} e^{i ω t}, T = T_{2}^{*} (x) e^{i ω t}, C = C_{2}^{*} (x) e^{i ω t} at λ = 1,

where

T_{2}^{*}

and

C_{2}^{*}

are thermal and solutal stratifications at the upper plate given by

T_{2}^{*} true(x true) = T_{2} + d_{1} x, C_{2}^{*} true(x true) = C_{2} + d_{2} x .

…”

Section: The Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Kumar

Ojjela

Sastry

2019

Heat Trans. Asian Res.

Self Cite

View full text Add to dashboard Cite

show abstract

“…[28] obtained numerical solutions for the nonlinear flow and heat transfer of MHD Hartmann–Couette in a Darcian channel with porous medium and Ohmic dissipation. Other interesting and recent research into the thermofluid dynamics of pipes has been reported in [29, 30, 31, 32, 33, 34, 35, 36, 37].…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic viscous fluid flow and heat transfer in a circular pipe under an externally applied constant suction

Nagaraju

Garvandha

2019

Heliyon

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An analytical investigation of two-dimensional heat transfer behavior of an axisymmetric incompressible dissipative viscous fluid flow in a circular pipe is considered. The flow is subjected to an externally applied uniform suction over the pipe wall in the transverse direction and a constant magnetic field opposite to the wall. The reduced Navier-Stokes equations in the cylindrical system are applied for the velocity and temperature fields. Constant wall temperature is considered as the thermal boundary condition. The velocity components are expressed into stream function and its solution is acquired by the Homotopy analysis method (HAM). The effects of magnetic body force parameter( M ), suction Reynolds number ( Re ), Prandtl number ( Pr )and Eckert number ( Ec ) on velocity and temperature are examined and are presented in a graphical frame. Streamlines, isotherms and pressure contours are likewise pictured. It is observed that with increasing suction Reynold number decelerates axial flow, whereas it enhances the radial flow. The temperature distribution increases with an increase in Prandtl number, whereas it decreases with an increase in Eckert number (viscous dissipation effect).

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Unsteady MHD Mixed Convection Flow of Chemically Reacting Micropolar Fluid between Porous Parallel Plates with Soret and Dufour Effects

Cited by 2 publications

References 23 publications

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Effects of double stratification on MHD chemically reacting second‐grade fluid through porous medium between two parallel plates

Magnetohydrodynamic viscous fluid flow and heat transfer in a circular pipe under an externally applied constant suction

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