On dual solutions of the unsteady MHD flow on a stretchable rotating disk with heat transfer and a linear temporal stability analysis

Sarkar, Golam Mortuja; Sahoo, Bikash

doi:10.1016/j.euromechflu.2020.09.010

Cited by 22 publications

(3 citation statements)

References 20 publications

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“…Besides, Khan et al, [20,21] investigated the effects of MHD flow over a spinning disk and a curved stretching surface. Other than that, research on MHD can also be found in the previous studies [22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 91%

Eyring-Powell Fluid Flow Past a Shrinking Sheet: Effect of Magnetohydrodynamic (MHD) and Joule Heating

Iskandar Waini,

Anuar Ishak,

Ioan Pop

2024

ARFMTS

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This paper examines the effect of magnetohydrodynamic (MHD) on Eyring-Powell fluid flow over a shrinking sheet. The sheet is permeable and it is shrunk with power-law velocity. By employing the suitable similarity transformations, the governing equations are transformed into the similarity equations, and MATLAB software is used to program the code with the aid of the bvp4c function. Results reveal that the magnetic and the suction parameters raise both the velocity and temperature gradients, which consequently increases the skin friction and the heat transfer coefficients. However, these physical quantities are reduced with the Eyring-Powell fluid parameter. The domain of the solutions is affected by the rise of the magnetic and the Eyring-Powell fluid parameters. From the stability analysis, the second solution is unstable while the first solution is stable over time.

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Section: Introductionmentioning

confidence: 91%

Eyring-Powell Fluid Flow Past a Shrinking Sheet: Effect of Magnetohydrodynamic (MHD) and Joule Heating

Iskandar Waini,

Anuar Ishak,

Ioan Pop

2024

ARFMTS

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“…Saadatfar 30,31 investigated transient behaviours of an FGMEE disc and an FGPM cylinder considering thermo-elastic properties, respectively. Sarkar and Sahoo 32 presented a dual solution for analysing the unstable MHD flow on a stretchable rotating disc. Tang et al 33 investigated the mode shapes and frequency of a rotating linked disc drum.…”

Section: Introductionmentioning

confidence: 99%

New optimum configuration for the FGM rotating disc in gas turbines using combined thermal-mechanical analysis: An analytical approach

Babazadeh,

Babaelahi,

Saadatfar

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The gas turbine is one of the most suitable equipment for various applications. Usually, a gas turbine comprises a set of discs to maintain turbine blades. The rotating disc in gas turbines is one of the critical components affected by various thermal and mechanical loads. The current article considers a new rotating disc with variable thickness (power-law profile). The functionally graded material has been used as the disc material, and the disc’s properties vary with temperature and location. Therefore, the mechanical and thermal behaviours of the disc are a function of temperature and location. The differential energy balance equation has been derived for analysing the new disc. In the performed analysis, the conduction and convection heat transfer coefficients vary with temperature and location; thus, the derived final heat transfer equation has high nonlinearity. One of the efficient expansion methods, the so-called Differential Transformation Method (DTM), is used for the governed equation’s analytical solution, and the numerical solution is used for validation. Then, the stress analysis is performed using analytical expressions according to the temperature profile. The impacts of geometrical and thermophysical characteristics on the temperature and stress distribution are evaluated using the analytical solution in the new disc. The comparison of displacement and stresses in the new FGM disc and old discs shows that the thermo-mechanical performance of the new proposed disc is improved significantly.

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“…In this research, the nonlinear partial differential equations were transformed into a two-point limit value problem with the help of similarity and t variables. Sarkar and Sahoo [17] studied the unsteady MHD flow on a stretchable rotating disk with heat transfer. Turner and Weidman [18] investigated Homann stagnation-point flow impinging on a biaxially stretching surface.…”

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confidence: 99%

Hybrid Analysis of Micropolar Ethylene-glycol Nanofluid on Stretching Surface Mounted Triangular, Rectangular and Chamfer Fins by FEM Strategy and Optimization with RSM Method

2022

IJE

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This paper analysis heat transfer and angular velocity of micropolar ethylene-glycol nanofluid over the triangular, rectangular and chamfer fins on the stretching sheet. The innovation of this paper is to investigate parameters of nanofluid flow passing from the different fins on the stretching surface. The finite Element Method is selected for solving governing equations. The nanofluid temperature in the space of fins is warm and equal to the surface temperature. The temperature value is 30 degrees. The maximum values of nanofluid temperature exist in the last fin of surfaces. By passing the nanofluid flow from the first fins of the surface, the temperature of flow comes from 25℃ to 31℃ and at the ends of the surface, the temperature is high value. The maximum of ethylene glycol angular velocity occurs at x=0.9 for chamfer and rectangular modes and the minimum of temperature occurs at x=0.8 for 3 different fins. The angular velocity for nanofluid on the triangular and chamfer modes is 6.5% bigger than other baffles.

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On dual solutions of the unsteady MHD flow on a stretchable rotating disk with heat transfer and a linear temporal stability analysis

Cited by 22 publications

References 20 publications

Eyring-Powell Fluid Flow Past a Shrinking Sheet: Effect of Magnetohydrodynamic (MHD) and Joule Heating

Eyring-Powell Fluid Flow Past a Shrinking Sheet: Effect of Magnetohydrodynamic (MHD) and Joule Heating

New optimum configuration for the FGM rotating disc in gas turbines using combined thermal-mechanical analysis: An analytical approach

Hybrid Analysis of Micropolar Ethylene-glycol Nanofluid on Stretching Surface Mounted Triangular, Rectangular and Chamfer Fins by FEM Strategy and Optimization with RSM Method

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