Effects of Slip on MHD Flow of a Dusty Fluid over a Stretching Sheet through Porous Space

Abbas, Zaheer; Hasnain, Jafar; Sajid, Muhammad

doi:10.1134/s1810232819010077

Cited by 28 publications

(20 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These results subjectively concur with the assumptions, because the magnetic field applies a decelerating force over the natural convection flow. The findings are in good concord with the results of Abbas et al 51 The summary shows a diminishing pattern in

\overset{f}{true} false'

for rising estimations of

β_{1}

(see Figure 2). It implies that the motion of fluid in the direction of

x

‐axis is restricted due to the viscoelastic results.…”

Section: Resultssupporting

confidence: 90%

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

Ramaiah¹,

Surekha

Gangadhar

et al. 2020

Heat Trans

View full text Add to dashboard Cite

In the present work, the effects of the transfer of heat, as well as the mass phenomenon of a Maxwell fluid in revolving flow over a unidirectional stretching surface are discussed. The result of the magnetic field within the boundary layer is considered. In the energy equation, the heat flux model of non-Fourier Cattaneo-Christov is employed. The customized Arrhenius function for energy activation is used. By using the transformation strategy, nondimensional expressions are achieved. To predict the highlights of the current effort, the result of the emerging nonlinear differential structure is calculated with the aid of the shooting procedure as well as the Runge-Kutta Fehlberg procedure. The influence of velocity and temperature along with concentration profiles for various physical parameters is analyzed. The involvement of fluid relaxation and thermal retardation phenomena is unequivocally mentioned.The evolution of heat transfer, as well as the rate of mass in the flow of fluids, is illustrated by the use of graphs in addition to tables. Furthermore, the current effort is confirmed by examination with previously published results, which establishes a strategy for the execution of a numerical approach. It is observed that the concentration of a solute in dual combination is relative to both rotation parameters along with activation energy. Besides this, a diminishing pattern in the distribution of temperature is described within the existence of the Cattaneo-Christov flux law by association with the rate of heat transfer because of Fourier's law. The present investigation can be applied in numerous engineering and technical procedures including the development of thin sheets, modeling of plastic sheets, in the lubrication system industry related to polymers, compression, and injection shaping in the area of chemical production and bimolecular reactions. Inspired by those applications, the present work is undertaken. K E Y W O R D S Arrhenius activation energy, Cattaneo-Christov heat flux model, chemical reaction, Maxwell fluid, MHD, rotating frame

show abstract

\overset{f}{true} false'

for rising estimations of

β_{1}

(see Figure 2). It implies that the motion of fluid in the direction of

x

‐axis is restricted due to the viscoelastic results.…”

Section: Resultssupporting

confidence: 90%

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

Ramaiah¹,

Surekha

Gangadhar

et al. 2020

Heat Trans

View full text Add to dashboard Cite

show abstract

“…x , velocity profiles for fluid phase f (η) and dust phase f p (η), as well as the temperature profiles for the fluid phase θ(η) and dust phase θ p (η) are illustrated graphically to examine the impact of some governing parameters, namely, Cu nanoparticle volume fraction (0 ≤ ϕ 2 ≤ 0.02), suction parameter (s > 1), velocity slip parameter (0 ≤ σ 1 ≤ 0.2), thermal slip parameter (0 ≤ σ 2 ≤ 0.2), fluid interaction parameter for velocity (0 ≤ B v ≤ 1), fluid interaction parameter for temperature (0 ≤ B T ≤ 1) and mass concentration (0 ≤ L ≤ 1). x for the shrinking sheet (λ = −1), as given in Equation (17). From these figures, it is interesting to see that two solutions are likely to occur for a particular range of suction parameters.…”

Section: Numerical Solutions and Discussionmentioning

confidence: 97%

“…Unlike in previous research, Hamid et al [15] explored the permeable shrinking surface in a dusty fluid and observed the occurrence of dual solutions. Gireesha et al [16] numerically studied the nonlinear thermal radiation and hall current impact on a dusty fluid in a heated stretching sheet, while Abbas et al [17] examined dusty fluid flow in a porous medium and took the impact of slip and MHD into consideration. Recently, the dusty fluid flow in a Riga plate with MHD and convective boundary conditions was studied by Prasannakumara et al [18].…”

Section: Introductionmentioning

confidence: 99%

Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect

2021

View full text Add to dashboard Cite

The mathematical modeling of dusty Cu-Al2O3/water nanofluid flow driven by a permeable deformable sheet was explored numerically. Rather than no–slip conditions at the boundary, velocity slip and thermal slip were considered. To achieve the system of nonlinear ordinary differential equations (ODEs), we employed some appropriate transformations and solved them numerically using MATLAB software (built–in solver called bvp4c). The influences of relevant parameters on fluid flow and heat transfer characteristics are discussed and presented in graphs. The findings showed that double solutions appeared in the case of stretching and shrinking sheets which contributed to the analysis of stability. The stability analysis, therefore, confirmed that merely the first solution was a stable solution. The addition of nanometer-sized particles (Cu) was found to significantly strengthen the heat transfer rate of the dusty nanofluid. Meanwhile, an upsurge in the velocity and thermal slip was shown to decrease the local Nusselt number. The result also revealed that an increment of fluid particle interaction decreased the boundary layer thickness.

show abstract

“…Very recently, Balasubramanian et al [15] discussed natural nonlinear convection flow of dusty fluid over a stretched cylinder at dissimilar temperatures. Furthermore, Abbas et al [16] inspected the influences of slip on the flow of a dusty fluid over a porous expanding surface.…”

Section: Introductionmentioning

confidence: 99%

Dusty Nanofluid Past a Centrifugally Stretching Surface

Ibrahim

Gamachu

2020

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This communication reports, the flow of Cu-water dusty nanofluid past a centrifugally stretching surface under the effect of second order slip and convective boundary conditions. The coupled nonlinear ordinary differential equations are get hold of from the partial differential equations which are derived from the conservation of momentum and energy of both nanofluid and dusty phases. Then, using apt resemblance transformation these ordinary differential equations were altered into a dimensionless form and then solved by bvp5c solver in Matlab software. The variation in velocity and temperature profiles of fluid and dusty phases for different parameters are thrash out in depth by figures and tables. The outcomes exhibit that the velocity profile of both fluid and dusty phases boot as the values of the dust particle volume fraction parameter is enlarged. Besides, the magnetic field parameter has similar effect on the velocity profile of both fluid and dusty phases. Also, the results illustrated that temperature profile of both Cu-water nanofluid and dusty particle phases are improved within an enhancement in the values of the temperature relaxation parameter, Cu-particle volume fraction, and Biot number. The results also confirm that for greater values of the magnetic field parameter the values of skin friction coefficient are enlarged for all values of the velocity ratio parameter.

show abstract

Effects of Slip on MHD Flow of a Dusty Fluid over a Stretching Sheet through Porous Space

Cited by 28 publications

References 15 publications

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect

Dusty Nanofluid Past a Centrifugally Stretching Surface

Contact Info

Product

Resources

About