Analysis of heat transfer due to stretching cylinder with partial slip and prescribed heat flux: A Chebyshev Spectral Newton Iterative Scheme

Majeed, Aaqib; Javed, Tariq; Ghaffari, Abuzar; Rashidi, Majid

doi:10.1016/j.aej.2015.09.015

Cited by 58 publications

(28 citation statements)

References 25 publications

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“…The final problem is formed using a set of generalized transformations and the results of Wang, 2 Ishak et al, 3 and Bhattacharyya and Gorla 6 are recovered for specific values of parameters. The solution of equations (6)- (8) is obtained with the help of a numerical scheme and the effects of all parameters on field quantities are observed. The numerical solutions of the current model matched exactly with the results of Wang, 2 Ishak et al, 3 and Bhattacharyya and Gorla 6 for fixed and appropriate values of parameters.…”

Section: Resultsmentioning

confidence: 99%

“…The final problem is composed of equations (6)- (8) and obtained after using the new set of transformations. Solutions of the last boundary value ODEs are compared and matched with the classical solutions for specific values of the parameters involved in the problem.…”

Section: Comparison With the Literaturementioning

confidence: 99%

“…Magnetohydrodynamic (MHD) effects on flow over a stretching cylinder are analyzed by Mukhopadhyay. 7 Flow and heat transfer over a stretching cylinder (assuming the partial slip and prescribed heat flux conditions) are studied by Majeed et al 8 who solved the problem numerically using Chebyshev spectral Newton iterative scheme. The literature regarding flows due to stretching (shrinking) cylinders and their numerical solutions is rich enough.…”

Section: Introductionmentioning

confidence: 99%

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Viscous flow over a stretching (shrinking) and porous cylinder of non-uniform radius

Ali

Marwat

Asghar

2019

Advances in Mechanical Engineering

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The classical models of viscous flows and heat transfer are reformulated in this article. The physical problem describes flow and heat transfer over a stretching (shrinking) and porous cylinder of non-uniform radius. The mathematical model is presented in the form of new equations and dimensionless parameters by means of reframing techniques. A porous and heated cylinder of a non-uniform diameter is stretched (shrunk) with variable stretching (shrinking) velocities. The governing equations and their physical geometrical perspectives are summarized into simplest boundary value ordinary differential equations. A set of unseen, generalized, and convenient transformations are used to solve the complex problem. The current formulation accumulates all the previous models of axisymmetric flow and heat transfer toward stretching (shrinking) and porous cylinder presented in the literature and prevails over all such models. The current model can be easily transformed into classical simulations for particular values of the parameters. The problem is solved numerically and the results were compared with the benchmark solutions. Velocity, temperature, skin friction coefficient, and Nusselt number profiles are plotted and analyzed for different values of the parameters. Moreover, coupling effects of all parameters are seen on flow and heat transfer characteristics and new results are explored and discussed.

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Section: Resultsmentioning

confidence: 99%

Section: Comparison With the Literaturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Viscous flow over a stretching (shrinking) and porous cylinder of non-uniform radius

Ali

Marwat

Asghar

2019

Advances in Mechanical Engineering

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“…Ali et al [26] revisited the analysis of Sato et al [25] in a wave frame. Some more interesting studies for peristalsis in a curved channel can be consulted through [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Convective Heat/Mass Transfer Analysis on Johnson-Segalman Fluid in a Symmetric Curved Channel with Peristalsis: Engineering Applications

2020

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The peristaltic flow of Johnson–Segalman fluid in a symmetric curved channel with convective conditions and flexible walls is addressed in this article. The channel walls are considered to be compliant. The main objective of this article is to discuss the effects of curvilinear of the channel and heat/mass convection through boundary conditions. The constitutive equations for Johnson–Segalman fluid are modeled and analyzed under lubrication approach. The stream function, temperature, and concentration profiles are derived. The analytical solutions are obtained by using regular perturbation method for significant number, named as Weissenberg number. The influence of the parameter values on the physical level of interest is outlined and discussed. Comparison is made between Jhonson-Segalman and Newtonian fluid. It is concluded that the axial velocity of Jhonson-Segalman fluid is substantially higher than that of Newtonian fluid.

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“…Majeed et al 19 considered the momentum slip of order two with the impact of the Darcy-Forchheimer flow of MHD viscous fluid across a linear stretchable surface in the presence of Arrhenius activation energy. In contrast, Majeed et al 20 addressed the partial slip effects of heat transfer and flow due to the stretching of the cylinder. Nevertheless, the ion slip with Hall effects is analyzed by Bhatti et al 21 for the radiative Casson flow.…”

Section: Introductionmentioning

confidence: 99%

Chemically reacting mixed convective Casson fluid flow in the presence of MHD and porous medium through group theoretical analysis

2020

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This paper explores the consequences of chemically reacting magnetohydrodynamic mixed convective fluid substances driven by the porous medium, slippery, incompressible, and laminar vertical channel flow. Casson fluid model in a vertical channel is strengthened with mixed convection flow. The effects of the heat source-sink parameter, the suctioninjection parameter, slips on the slide wall, and thermal radiation are also considered. A Lie group method is taken into consideration and nonlinear partial differential equations are converted into nonlinear ordinary differential equations (ODEs). The NDSolve command solves these ODEs and shows the action of the related parameters in the velocity, temperature, and concentration figures. The Casson fluid parameter increases the velocity profile but reduces the concentration profile. The parameter of suction-injection enhances the velocity, temperature, and concentration profiles. The variations in skinfriction coefficient in the heat and mass transfer rate are addressed in the diagrams. Moreover, streamlines are plotted for suction-injection parameter.

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Analysis of heat transfer due to stretching cylinder with partial slip and prescribed heat flux: A Chebyshev Spectral Newton Iterative Scheme

Cited by 58 publications

References 25 publications

Viscous flow over a stretching (shrinking) and porous cylinder of non-uniform radius

Viscous flow over a stretching (shrinking) and porous cylinder of non-uniform radius

Convective Heat/Mass Transfer Analysis on Johnson-Segalman Fluid in a Symmetric Curved Channel with Peristalsis: Engineering Applications

Chemically reacting mixed convective Casson fluid flow in the presence of MHD and porous medium through group theoretical analysis

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