Casson fluid flow and heat transfer past a symmetric wedge

Mukhopadhyay, Swati; Mondal, Iswar Chandra; Chamkha, Ali J.

doi:10.1002/htj.21065

Cited by 73 publications

(32 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The increase in β also causes an increase in the surface shear stress or skin friction (Table 2), which in turn increases the thickness of boundary layer. This is in compliance with the previous findings of Mukhopadhyay et al [32].…”

Section: Resultssupporting

confidence: 94%

Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium

Sarkar

Endalew

2019

Bound Value Probl

View full text Add to dashboard Cite

An investigation is carried out to capture the influence of melting process and permeability of the medium on the hydromagnetic wedge flow of a Casson nanofluid. The effects of thermophoresis and Brownian motion are also taken into consideration. The coupled nonlinear partial differential equations that govern the nanofluid flow are reduced to coupled non-linear ordinary differential equations by employing similarity transformation. Thereafter, numerical solution of the resulting boundary value problem is obtained using a fourth-order accurate collocation based solver in MATLAB. A particular case of the present problem is compared with a previously published study, and the results are found to be in excellent agreement. The impact of pertinent physical entities on nanofluid velocity, nanofluid temperature, and nanoparticle concentration are presented graphically, while local skin friction, heat transfer, and mass transfer rates are recorded in a tabular form. It is found that melting process increases the thicknesses of momentum, thermal and solutal boundary layers while it reduces skin friction, heat and mass transfer rates. Wedge angle and Casson nanofluid parameters enhance the fluid velocity; however, the impact of the magnetic field and permeability of the medium is opposite to that of their usual characteristics. This study would be valuable in designing cooling gadgets and heat sinks of various shapes which will enhance the heat transfer properties of Casson nanofluids thereby increasing their applications in industrial perspectives.

show abstract

Section: Resultssupporting

confidence: 94%

Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium

Sarkar

Endalew

2019

Bound Value Probl

View full text Add to dashboard Cite

show abstract

“…To validate the present model, a comparison table (see Table ) is drawn on the basis of

f false'' (0)

for different values

m

in the absence of

W e, H a, K, N_{b}, N_{t} normal, and S c

also taking

ξ \to \infty, ζ \to \infty

. Table confirms that the numerical outcomes produced by the current code are in excellent harmony with the outcomes of Yih, Mukhopadhyay et al, and Raju et al and, thus, acceptable to the employment of present code for this model.…”

Section: Numerical Proceduressupporting

confidence: 67%

“…Yacob et al addressed that the rate of temperature relocation is an escalating function of Falkner‐Skan power law parameter “

m

” in still and moving wedge flow situations. The attention received through the research of Mukhopadhyay et al reveals that with the growing values of Casson fluid parameter along a symmetric wedge the drift separation can be limited. More resourceful contributions in this topic can be found in Khan et al…”

Section: Introductionmentioning

confidence: 99%

Multiple convection‐driven Falkner‐Skan flow of Carreau nanofluid along a permeable wedge: An analytical approach

Chakraborty

Das²,

Kundu

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

The impression of multiple convective conditions on Falkner-Skan flow along a permeable static/moving wedge is demonstrated here. The Carreau nanofluid model depending on the power law index is incorporated with the effects of thermophoresis and Brownian motion. A suitable similarity conversion is consumed to bring out the nonlinear ordinary differential equations (ODEs) from the partial differential system. The transformed system is tackled via analytical and numerical procedure by homotopy perturbation method and RK-5 with shooting technique, respectively. Numerical computations assert that the growth of concentration and temperature boundary layer widths are in an inversely proportional relation to the permeability of the medium, whereas reverse effect is observed for conduction convection and conduction diffusion parameters. Also, with the enhancement of Brownian motion parameter, the rate of heat transport gets reduced for static wedge by 14.25% whereas for moving wedge the reduction is 10.61%. Another significant observation shows that the growth in mass transport with conduction diffusion is 17.65% greater for moving wedge in contrast to static one in accordance with other governing parameters. K E Y W O R D S convection conduction, convection diffusion, homotopy perturbation method, nanofluids, permeable wedge M S C 76W05, 76V05 Heat Transfer-Asian Res. 2019;48:914-937. wileyonlinelibrary.com/journal/htj 914 |

show abstract

“…Under the assumption of small magnetic Reynolds number, the magnetic field induced inside the nanofluidic medium can be neglected. Hence, by adopting the Rosseland radiative approximation model, the boundary layer equations of the present problem can be stated for as follows 47,48

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

\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} + w \frac{\partial u}{\partial z} = \frac{υ false(β + 1 false)}{β} \frac{\partial^{2} u}{\partial z^{2}} - \frac{σ B_{0}^{2}}{ρ} u,

\frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y} + w \frac{\partial v}{\partial z} = \frac{υ false(β + 1 false)}{β} \frac{\partial^{2} v}{\partial z^{2}} - \frac{σ B_{0}^{2}}{ρ} v,

\begin{matrix} trueleft \\ \frac{\partial T}{\partial t} + u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y} + w \frac{\partial T}{\partial z} = α (1 + \frac{16 σ^{*} T_{\infty}^{3}}{3 k k^{*}}) \frac{\partial^{2} T}{\partial z^{2}} + τ (D_{B} \frac{\partial C}{\partial z} + \frac{D_{T}}{T_{\infty}} \frac{\partial T}{\partial z}) \frac{\partial T}{} \end{matrix}

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Thumma¹,

2020

View full text Add to dashboard Cite

It is worth remarking that little is known about generalized differential quadrature analysis of three‐dimensional flow of non‐Newtonian Casson fluid in the presence of Lorentz force, thermal radiation, haphazard motion of tiny particles, thermomigration of these tiny particles due to temperature gradient, heat source, significant conversion of kinetic energy into internal energy, first‐order chemical reaction, convectively heated horizontal wall, and zero nanoparticles mass flux at the stretching surface. The revised form of Buongiorno's nanofluid model accounted for significant influences of Brownian motion and thermophoresis. The similarity solution was complemented with a powerful collocation procedure based on the generalized differential quadrature method and Newton–Raphson iterative scheme to achieve accuracy and convergent outcomes. The numerical effects disclose that the Casson nanofluid parameter slows down the axial velocities in both directions. Also, the unsteadiness parameter tends to decline generally the temperature throughout the medium and decrease particularly the concentration profile away from the stretching surface. These examinations are applicable in the field of biomechanics, polymer processing, and for characterizing the cement slurries.

show abstract

Casson fluid flow and heat transfer past a symmetric wedge

Cited by 73 publications

References 31 publications

Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium

Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium

Multiple convection‐driven Falkner‐Skan flow of Carreau nanofluid along a permeable wedge: An analytical approach

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Contact Info

Product

Resources

About