Effect of velocity of applied magnetic field on natural convection over ramped type moving inner cylinder with ramped type temperature

Vanita,; Kumar, Anand

doi:10.1016/j.ijmecsci.2017.07.035

Cited by 6 publications

(7 citation statements)

References 19 publications

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“…The ramped function in the boundary conditions was captured by Vatsa and Kumar 5

f (t^{true'}) = true{\begin{matrix} true \\ left \frac{t^{'}}{t_{0}} & left if 0 \leq t^{true'} \leq t_{0} \\ left 1 & left if t^{true'} \geq t_{0} \end{matrix}

f (t^{true'}) = H (t^{true'}) true(\frac{t^{true'}}{t_{0}} true) - true(\frac{1}{t_{0}} true) (t^{true'} - t_{0}) H (t^{true'} - t_{0})

…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Vatsa and Kumar 4 studied the effect of radial magnetic field on free convective flow over ramped velocity moving vertical cylinder with ramped type temperature and concentration. Vatsa and Kumar 5 investigated the effect of velocity of applied magnetic field on natural convection over ramped type moving inner cylinder with ramped type temperature. In their study, the nonlinear partial differential equations governing the flow formation was solved numerically by using implicit finite difference Crank‐Nicolson method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Influence of relative motion of magnetic field on time‐dependent MHD natural convection flow

Lawal

Jibril

2020

Heat Trans

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The effects of relative motion of magnetic field on unsteady magnetohydrodynamic free convection flow with ramped motion and temperature-dependent heat source/sink have been analyzed. The motion of the inner cylinder is ramped while the motion of the outer cylinder is fixed. The momentum and energy equations are solved using the well-known Laplace transform. The time-domain solution is obtained using the Riemann-sum approximation method. The influence of the governing parameters on fluid velocity, fluid temperature, volume flow rate, and rate of heat transfer are discussed with the help of line graphs. It is found that Hartmann number has a retarding effect on fluid velocity, skin friction at the outer surface of the inner cylinder, and mass flow rate when the magnetic field is fixed with the fluid and when the velocity of the magnetic field is less than the velocity of the moving cylinder. Whereas, the reverse effect is noticed when the magnetic field is fixed with the moving cylinder.

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“…The ramped function in the boundary conditions was captured by Vatsa and Kumar 5

f (t^{true'}) = true{\begin{matrix} true \\ left \frac{t^{'}}{t_{0}} & left if 0 \leq t^{true'} \leq t_{0} \\ left 1 & left if t^{true'} \geq t_{0} \end{matrix}

f (t^{true'}) = H (t^{true'}) true(\frac{t^{true'}}{t_{0}} true) - true(\frac{1}{t_{0}} true) (t^{true'} - t_{0}) H (t^{true'} - t_{0})

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of relative motion of magnetic field on time‐dependent MHD natural convection flow

Lawal

Jibril

2020

Heat Trans

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“…The presence of the magnetic field has a significant prominence in many fluid flow problems, such as geophysics and astrophysics to the leading edge engineering applications like plasma confinement, electromagnetic casting, liquid metal coating, and so on . Therefore, many researchers have been motivated to investigate the magnetohydrodynamic (MHD) flow problems pertaining to Newtonian and non‐Newtonian fluids as explained by Arora and Gupta, Cortell, Kumar and Singh, and Vanita and Kumar …”

Section: Introductionmentioning

confidence: 99%

“…9,10 Therefore, many researchers have been motivated to investigate the magnetohydrodynamic (MHD) flow problems pertaining to Newtonian and non-Newtonian fluids as explained by Arora and Gupta, 11 Cortell, 12 Kumar and Singh, 13 and Vanita and Kumar. 14,15 MHD studies with Casson fluid have also been performed by some researchers. Eldabe et al, 16 theoretically studied the heat transfer of non-Newtonian Casson fluid between two rotating cylinders under a radial magnetic field.…”

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confidence: 99%

Study of magnetohydrodynamic convection between two rotating cylinders filled with casson fluid and the viscous dissipation effect

Vatsa

Kumar

2019

Heat Trans. Asian Res.

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We have studied the forced convection of a viscous incompressible and electrically conducting non‐Newtonian Casson fluid between two rotating cylinders with viscous dissipation effect. An angular velocity aω0 and bω1 gives to inner and outer cylinders, respectively, and constant heat flux presented on the inner cylinder surface. Also, the outer cylinder is taken as insulated. Here, we have discussed three cases: (i) The inner cylinder is rotating with a constant angular velocity while the outer cylinder is at rest; (ii) Both the cylinders rotate in the identical direction with equal angular velocity; and (iii) Both the cylinders are rotating with equal angular speed but the outer cylinder rotates in the opposite direction of the inner cylinder. The governing equations are solved by numerical techniques using MATLAB Software and the results are obtained graphically.

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“…The research of free convective MHD flow in different geometries in the presence of a magnetic field under different physical situations has been found in Ref. [15][16][17][18][19][20][21]. Prakash et al 22 studied the impact of magnetic field on free convective flow over a vertical cone for variable heat and mass flux and obtain the variation on the velocity, concentration and temperature profile for various physical parameters.…”

mentioning

confidence: 99%

A numerical study of magneto‐double‐diffusive‐convection of Casson fluid over a vertical cone under nonuniform heating at surface of cone

Rajora

Kumar

2020

Heat Trans

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The objective of this investigation is to determine the impact of nonuniform heating on the transient natural convection of Casson fluid past a vertical cone in the appearance of a constant magnetic field. The overall analysis has executed in the presence of viscous dissipation, chemically reactive species, and ramped concentration. The derived governing partial differential equations in the dimensionless form are evaluated numerically using the implicit Crank‐Nicolson technique of finite difference method. The obtained numerical solutions for various physical parameters on all examined profiles have been shown graphically. The major result is found that the temperature and velocity profiles have a maximum magnitude at the middle of the lateral side of the cone. Also, the concentration profile has a maximum magnitude at t = 3 for ramped concentration case.

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Effect of velocity of applied magnetic field on natural convection over ramped type moving inner cylinder with ramped type temperature

Cited by 6 publications

References 19 publications

Influence of relative motion of magnetic field on time‐dependent MHD natural convection flow

Influence of relative motion of magnetic field on time‐dependent MHD natural convection flow

Study of magnetohydrodynamic convection between two rotating cylinders filled with casson fluid and the viscous dissipation effect

A numerical study of magneto‐double‐diffusive‐convection of Casson fluid over a vertical cone under nonuniform heating at surface of cone

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