Heat transfer analysis due to an unsteady stretching/shrinking cylinder with partial slip condition and suction

Abbas, Zaheer; Rasool, Shafqat; Rashidi, Majid

doi:10.1016/j.asej.2015.01.004

Cited by 48 publications

(24 citation statements)

References 22 publications

(30 reference statements)

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“…In the present study, we extend the work of Abbas et al, [6] by investigating the flow and heat transfer characteristics of unsteady boundary layer flow towards a stretching/shrinking cylinder immersed in Cu-water nanofluid using a model introduced by Tiwari and Das [17]. The governing partial differential equations are transformed into a system of ordinary differential equations by applying similarity transformation using the appropriate similarity variables.…”

Section: Introductionmentioning

confidence: 92%

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Unsteady Boundary Layer Flow Over a Permeable Stretching/Shrinking Cylinder Immersed in Nanofluid

Dzulkifli

Bachok

Yacob

et al. 2021

ARFMTS

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In this study, the unsteady boundary layer flow over a stretching/shrinking cylinder immersed in nanofluid with the presence of suction effect is analyzed. The governing partial differential equations are converted to ordinary differential equations by introducing similarity transformation variables. The shooting method is applied to solve the system where the numerical solutions are obtained and presented graphically. The study's objective is to investigate the effect of nanoparticle volume fraction, the unsteadiness parameter, the stretching/shrinking parameter on the velocity and temperature gradients. It is found that the dual solutions are obtained in a specific range of these parameters for both stretching and shrinking cylinders. Besides, a high volume of the nanoparticle in the base fluid increases the velocity gradient and decreases the temperature gradient at the surface. Also, increasing nanoparticle volume fraction in the base fluid expands the solution's range, which denotes the boundary layer separation from the surface has been delayed. The existence of dual solutions allows stability analysis performance by introducing a new dimensionless variable and is solved using bvp4c function in Matlab software. This phase obtains the smallest eigenvalue, showing that the first solution is stable and physically realizable while the second solution is not stable.

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Section: Introductionmentioning

confidence: 92%

“…Abbas et al, [6] extended the work by Zaimi et al, [4] by considering the partial slip condition of the flow over a porous stretching/shrinking cylinder. They presented the numerical solutions graphically and found that dual solutions exist for a shrinking surface.…”

Section: Introductionmentioning

confidence: 97%

Unsteady Boundary Layer Flow Over a Permeable Stretching/Shrinking Cylinder Immersed in Nanofluid

Dzulkifli

Bachok

Yacob

et al. 2021

ARFMTS

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“…They found that injection is a sufficient condition to reduce the skin friction and water is a better coolant than air under the injection process, and they also found that thermal conductivity enhances and the magnetic effect suppresses the skin friction. Following the footsteps of Wang, many researchers enriched the literature by discussing the various physical models in the arena of extending cylinders, such as Mukhopadhyay, 25 Wang, 26 Abbas et al, 27 Uysal et al, 28 and Usman et al 29 The influence of Lorentz force arising due to external applied magnetic field over an extending cylinder was initially analyzed by Ashorynejad et al 30 and was further discussed by Elbashbeshy et al 31 To the authors' best knowledge, no studies have been performed on the hybrid nanofluid movement past a stretching porous cylinder with the effect of radiation, Lorentz force, suction, and variable viscosity. The above-mentioned physical model has many applications in engineering and technology field.…”

Section: Introductionmentioning

confidence: 99%

Radiative MHD flow of hybrid nanofluid past a porous stretching cylinder for heat transfer enhancement

Ismail

Gururaj

2021

Heat Trans

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The current study investigates heat transfer enhancement due to the radiative magnetohydrodynamics (MHD) flow of a hybrid nanofluid MathClass-open[ MathClass-open( Cu + Al 2 O 3 MathClass-close) ∕ ( CH 2 OH ) 2 MathClass-close] past a porous stretching cylinder under the influence of variable viscosity as well as suction. The nonlinear partial differential equations governing the proposed physical model are transformed into nonlinear ordinary differential equations by applying suitable similarity transformation. The scaled‐down system is solved numerically by the fourth‐order Runge–Kutta method along with shooting technique for the achievement of asymptotic boundary condition. The velocity and temperature profiles are obtained for various physical factors of the problem, namely, magnetic interaction factor ( M ), Reynolds number ( R e ), volume fraction factor of copper ( ϕ 2 ), variable viscosity ( δ ), and radiation factor MathClass-open( R d MathClass-close), together with suction ( γ ), by fixing the Prandtl number of the core fluid (ethylene glycol) constant at 25.825. The numerical values of skin friction and the rate of heat transfer are obtained and tabulated. To validate the proposed physical model, numerical simulations are provided with comparison. The paper highlights the effects of physical factors, namely, radiation, variable viscosity, and suction parameters, on the flow of a hybrid nanoflluid for heat transfer enhancement.

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“…Mahdy 15 discussed the flow, heat, and mass transfer in the presence of (with) injection/suction floe over a stretching cylinder under the effect of Viscous and Joule Heating. However, Abbas et al 16 analyzed the unsteady heat transfer flow with suction and slip flow along a shrinking/stretching cylinder. Later, Bakar et al 17 studied the heat transfer of nanofluid flow in the presence of suction over a shrinking/stretching cylinder.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the velocity, thermal, and concentration MHD slip flow over a nonlinear stretching cylinder in the presence of outer velocity

Vinita

Poply²,

Goyal

et al. 2020

Heat Trans

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The intention of the present work is to analyze the influence of magnetohydrodynamic slip flow with radiation effect toward a nonlinear stretching cylinder in the presence of outer velocity. Similarity variables are applied to convert the governing partial differential equations into ordinary differential equations. The Runge‐Kutta‐Fehlberg approach was adopted to numerically solve the modified equations by use of the Shooting method. The effect of prominent fluid parameters especially the velocity slip parameter, temperature slip parameter, concentration slip parameter, outer velocity, magnetic parameter, nonlinear stretching parameter, Schmidt number, and Eckert number on the velocity, temperature, and concentration have been examined and are displayed through graphs and tables. Numerical results of various parameters involved for the skin friction coefficient, the local Nusselt numbers, and the local Sherwood numbers are determined and also discussed in detail. In the present study, we used MATLAB for finding the final outcomes and relating the conclusive results for −θ0′(0) with those of already published papers. The outcomes reveal that with an increase in outer velocity, the fluid velocity increases while the temperature and concentration decrease. In the case of a higher nonlinear stretching parameter, the temperature as well as concentration decrease. The findings of the present study help to control the rate of heat transportation and highlight many applications in the insulation of wires, manufacturing of tetrapacks, production of glass fibers, fabrication of various polymers and plastic packs, rubber sheets, and so forth, where the quality of the desired product depends on the rate stretching, external magnetic field, and the composition of the material used, and manufacturing processes.

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Heat transfer analysis due to an unsteady stretching/shrinking cylinder with partial slip condition and suction

Cited by 48 publications

References 22 publications

Unsteady Boundary Layer Flow Over a Permeable Stretching/Shrinking Cylinder Immersed in Nanofluid

Unsteady Boundary Layer Flow Over a Permeable Stretching/Shrinking Cylinder Immersed in Nanofluid

Radiative MHD flow of hybrid nanofluid past a porous stretching cylinder for heat transfer enhancement

Analysis of the velocity, thermal, and concentration MHD slip flow over a nonlinear stretching cylinder in the presence of outer velocity

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