Thermal convection of MHD Blasius and Sakiadis flow with thermal convective conditions and variable properties

Krishna, Ch. Murali; ViswanathaReddy, G.; Souayeh, Basma; Raju, C. S. K.; Rahimi‐Gorji, Mohammad; Raju, S. Suresh Kumar

doi:10.1007/s00542-019-04353-y

Cited by 47 publications

(13 citation statements)

References 38 publications

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“…28 Let the x-axis be taken along the direction of the plate and y-axis normal to it. Under the Boussinesq and boundary layer approximations, the governing partial differential equations are given as 7,[29][30][31][32] :…”

Section: Governing Equationsmentioning

confidence: 99%

“…It is assumed that the lower surface of the plate is heated by convection, from a hot fluid at temperature T f which provides a heat transfer coefficient h f . 28 Let the x ‐axis be taken along the direction of the plate and y ‐axis normal to it. Under the Boussinesq and boundary layer approximations, the governing partial differential equations are given as 7,29‐32 :

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0,

u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} = υ \frac{\partial^{2} u}{\partial y^{2}} - \frac{σ B_{0}^{2}}{ρ} u + italicg β false(T - T_{\infty} false) + g β^{*} false(C - C_{\infty} false),

u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y} = \frac{1}{ρ c_{p}} [\frac{\partial}{\partial y} (κ false(T false) \frac{\partial T}{\partial y}) - (\frac{\partial q_{r}}{\partial y}) + q false(T - T_{\infty} false)] + \frac{D k_{t}}{c_{p} c_{s}} (\frac{\partial^{2} C}{\partial y^{2}}) + \frac{μ}{c_{p}} {((), \frac{\partial u}{\partial y})}^{2},

u \frac{\partial C}{\partial x} + v \frac{∂C}{\partial y} = D

…”

Section: Governing Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Variability effects on magnetohydrodynamic for Blasius and Sakiadis flows in the presence of Dufour and Soret about a flat plate

Oyem

Mutuku

Oke

2020

Engineering Reports

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A study on a steady-state, two-dimensional boundary layer flow of an incompressible magnetohydrodynamic fluid for the Blasius and Sakiadis flows about a flat plate in the presence of Dufour (D f) and Soret Sr has been carried out. The governing partial differential equations are transformed into a set of coupled nonlinear ordinary differential equations using similarity variables. These coupled equations are solved numerically using Runge-Kutta Gill method with shooting technique. The results obtained have significant effects in the controlling parameters of the flow fluid.

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Section: Governing Equationsmentioning

confidence: 99%

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0,

u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} = υ \frac{\partial^{2} u}{\partial y^{2}} - \frac{σ B_{0}^{2}}{ρ} u + italicg β false(T - T_{\infty} false) + g β^{*} false(C - C_{\infty} false),

u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y} = \frac{1}{ρ c_{p}} [\frac{\partial}{\partial y} (κ false(T false) \frac{\partial T}{\partial y}) - (\frac{\partial q_{r}}{\partial y}) + q false(T - T_{\infty} false)] + \frac{D k_{t}}{c_{p} c_{s}} (\frac{\partial^{2} C}{\partial y^{2}}) + \frac{μ}{c_{p}} {((), \frac{\partial u}{\partial y})}^{2},

u \frac{\partial C}{\partial x} + v \frac{∂C}{\partial y} = D

…”

Section: Governing Equationsmentioning

confidence: 99%

Variability effects on magnetohydrodynamic for Blasius and Sakiadis flows in the presence of Dufour and Soret about a flat plate

Oyem

Mutuku

Oke

2020

Engineering Reports

View full text Add to dashboard Cite

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“…Makinde 19 inspected the Sakiadis stream over a moving plate of TiO 2 –water and Cu–water nanofluid. The Blasius and Sakiadis stream over a horizontal plate was investigated by Olanrewaju et al 20 The role of viscous dissipation on Blasius and Sakiadis stream subjected to variable thermal conductivity was investigated by Krishna et al 21 Their results proved that the heat transport rate enhances with the temperature ratio parameter.…”

Section: Introductionmentioning

confidence: 99%

Solar radiative heat‐driven Sakiadis flow of a dusty nanoliquid with Brownian motion and an exponential space‐based heat source: Koo–Kleinstreuer–Li (KKL) model

Radhika¹,

Mahanthesh

Siddabasappa³

et al. 2020

Heat Trans

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The advancement of heat transportation is a significant phenomenon in nuclear reactors, solar collectors, heat exchangers, and electronic coolers; and it can be accomplished by choosing a nanofluid as the functional fluid. Nanofluids have improved thermophysical properties, due to their great progress in engineering and industrial applications. Therefore here, the significance of exponential space‐related heat source (ESHS) on radiative heat motivated Sakiadis two‐phase flow over a moving plate is analyzed for a particulate nanoliquid (CuO–H2O). The impact of the haphazard motion of nanoparticles is analyzed through the Koo–Kleinstreuer–Li model. On applying a similarity transformation to the governing equations, a set of ordinary differential equations is obtained and numerically solved. Through the perception of graphs, the behavior of the velocity and temperature constraints for diverse values of effective parameters is decoded. The results show that the temperature of both phases (dust and fluid) improves with the ESHS aspect. Also, the heat transport rate/friction factor enhances/declines with the concentration of dust particles.

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“…9 Recently, numerous studies have focused on Marangoni convection flow in different flow features. [10][11][12][13][14][15][16] The energy disaster is the hot issue of the recent decade, and most of the researchers are trying to investigate the advance resources to restore the energy and to control the consumption of heat transfer devices. These resources are associated with solids, gasses and liquids.…”

Section: Introductionmentioning

confidence: 99%

The impact of the Marangoni convection and magnetic field versus blood-based carbon nanotube nanofluids

Gul

Akbar

Zaheer

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part N:

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The mutual result of the magnetic field and Marangoni convection against the thin liquid film of Casson fluid, blood-based carbon nanotube nanofluid has been fruitfully discussed in this article. The influence of various model constraints is focused on velocity, heat transfer, pressure distribution, skin friction and Nusselt number through graphical illustration. In addition, we witness that the thermal field of liquid raises with the growing value of [Formula: see text] and this upsurge is more in single-walled carbon nanotubes and is more dominant than multi-walled carbon nanotubes. The controlling approach of the homotopy analysis method has been used for velocity and temperature distribution. For authentication, the achieved results have been associated with the numerical (ND-Solve) method and displayed. This investigation shows that the velocity profile in the case of Casson fluid single-walled carbon nanotube–blood nanofluid is comparatively less affected and the temperature field of single-walled carbon nanotube–blood nanofluid dominates multi-walled carbon nanotube–blood nanofluid.

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Thermal convection of MHD Blasius and Sakiadis flow with thermal convective conditions and variable properties

Cited by 47 publications

References 38 publications

Variability effects on magnetohydrodynamic for Blasius and Sakiadis flows in the presence of Dufour and Soret about a flat plate

Variability effects on magnetohydrodynamic for Blasius and Sakiadis flows in the presence of Dufour and Soret about a flat plate

Solar radiative heat‐driven Sakiadis flow of a dusty nanoliquid with Brownian motion and an exponential space‐based heat source: Koo–Kleinstreuer–Li (KKL) model

The impact of the Marangoni convection and magnetic field versus blood-based carbon nanotube nanofluids

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