A Study of Two Dimensional Unsteady MHD Free Convection Flow over a Vertical Plate in the Presence of Radiation

Ullah, Mohammad Sharif; Tarammim, Absana; Uddin, Mohammed Jahir

doi:10.4236/ojfd.2021.111002

Cited by 12 publications

(7 citation statements)

References 22 publications

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“…For radiation, Rosseland approximation is used [ 16 – 18 ]:

where σ ∗ is the Stefan–Boltzmann constant, k ∗ is the absorption coefficient, and T 4 is the linear temperature function. T 4 is expanded by Taylor series expansion about T ∞ as

…”

Section: Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Simulation of MHD Couette Flow of a Fuzzy Nanofluid through an Inclined Channel with Thermal Radiation Effect

Siddique

Zulqarnain

Nadeem

et al. 2021

Computational Intelligence and Neuroscience

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The present study especially concerns the investigation of the Couette flow and heat transfer with thermal radiation through an inclined channel. Single-wall carbon nanotube (SWCNT) and multiple-wall carbon nanotube (MWCNT) are nanoparticles embedded in the host fluid. The dimensionless highly nonlinear differential equations (DEs) are solved via numerical scheme bvp4c. The effects of the physical parameters on heat transfer are presented in the form of graphs. The results demonstrate that the heat transfer is enhanced by using solid particle frictions (SWCNT and MWCNT). The large estimation of a magnetic parameter declines the velocity component. The current and existing results with their comparisons are shown in the tabular form for the validation of our code. The current results are in good agreement with their existing results. Generally, fuzziness or uncertainty is inherent in modeling, analysis, and experimentation. Due to the uncertain environmental conditions, fuzziness broadly exists in various engineering heat transfer problems. In this work, the nanoparticles’ volume fraction of the SWCNT and MWCNT is taken as uncertain parameters in terms of triangular fuzzy numbers (TFNs). The TFNs are controlled by the α − cut which has less computational effort for analyzing the fuzziness or uncertainties. Also, a comparison between the SWCNT and MWCNT through the membership function and the variability of the uncertainty is studied.

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“…For radiation, Rosseland approximation is used [ 16 – 18 ]:

where σ ∗ is the Stefan–Boltzmann constant, k ∗ is the absorption coefficient, and T 4 is the linear temperature function. T 4 is expanded by Taylor series expansion about T ∞ as

…”

Section: Problem Formulationmentioning

confidence: 99%

“…Zeeshan et al [ 15 ] studied the impact of variable thermal conductivity, heat generation, heat flux, and inclined uniform magnetic field on Poiseuille flow employing the homotopy analysis method (HAM). In this way, there are large kinds of literature about MHD and thermal radiation such as [ 16 – 23 ].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of MHD Couette Flow of a Fuzzy Nanofluid through an Inclined Channel with Thermal Radiation Effect

Siddique

Zulqarnain

Nadeem

et al. 2021

Computational Intelligence and Neuroscience

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“…Shamshuddin et al [12] explored the effects of the thermal Péclet number, vortex viscosity, and Reynolds number on the two-dimensional flow of micropolar fluid through a channel owing to mixed convection. Ullah et al [13] demonstrated magneto-convective flow over a vertical plate with radiation. Islam et al [14] triumphed over the mathematical forming of a flow field with uniform/nonuniform thermal and magnetic strength in a half-moon-shaped region.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Assessment of Time-Dependent Magneto-Convective Thermal-Material Transfer over a Vertical Permeable Plate

Uddin

Nasrin

2023

Journal of Applied Mathematics

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The objective of this work is to investigate the influences of thermal radiation, heat generation, and buoyancy force on the time-dependent boundary layer (BL) flow across a vertical permeable plate. The fluid is unsteady, incompressible, viscous, and electrically insulating. The heat transfer mechanism happens due to free convection. The nondimensional partial differential equations of continuity, momentum, energy, and concentration are discussed using appropriate transformations. The impressions of thermal radiation and buoyancy forces are exposed in the energy and momentum equation, respectively. For numerical model, a set of nonlinear dimensionless partial differential equations can be solved using an explicit finite difference approach. The stability and convergence analyses are also established to complete the formulation of the model. The thermophysical effects of entering physical parameters on the flow, thermal, and material fields are analyzed. The variations in local and average skin friction, material, and heat transfer rates are also discussed for the physical interest. The analysis of the obtained findings is shown graphically, and relevant parameters pointedly prejudice the flow field. Studio Developer FORTRAN 6.2 and Tecplot 10.0 are applied to simulate the schematic model equations and graphical presentation numerically. The intensifying values of the magnetic field are affected decreasingly in the flow field. The temperature profiles decrease within the BL to increase the value of radiation parameters. The present study is on the consequences for petroleum engineering, agriculture engineering, extraction, purification processes, nuclear power plants, gas turbines, etc. To see the rationality of the present research, we compare these results and the results available in the literature with outstanding compatibility.

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“…Tarammim et al [14] examenid instable MHD free convection stream over a perpendicular dish in a two-dimensional coordinate system and examined the stability conditions using an explicit finite difference method. They examined the governing equations of unstable free convection heat transfer flow in the presence of radiant energy in 2021 (see [16]). Nagarju [11] studied the behavior of fluid velocity and temperature by utilizing the finite difference approach, and they evaluated the impact of misaligned magnetic force and temperature radiation on unstable MHD flow on a sloped plate.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Simulation of Convection and Conduction Heat Transfer for a Fluid in a Porous Medium

Algwauish

Hammodat²,

Saleem³

2023

Eur. J. Pure Appl. Math.

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Building a computational formula which is expressed by a system of nonlinear partial differential equations in two components was done in this job. The matter of energy transfer by free convection of a dissipative liquid running in a horizontal channel with a porous medium was examined in this study, and we describe the behavior of fluid flow through the channel and the temperature distribution within it. Numerical methods were used as the ODE45 method, one of the Rang-Kutta methods for processing the resulting differential equations. The effect of the Prandtl number, the Schmidt multitude, and the Gratshof amount were also studied.

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A Study of Two Dimensional Unsteady MHD Free Convection Flow over a Vertical Plate in the Presence of Radiation

Cited by 12 publications

References 22 publications

Numerical Simulation of MHD Couette Flow of a Fuzzy Nanofluid through an Inclined Channel with Thermal Radiation Effect

Numerical Simulation of MHD Couette Flow of a Fuzzy Nanofluid through an Inclined Channel with Thermal Radiation Effect

A Numerical Assessment of Time-Dependent Magneto-Convective Thermal-Material Transfer over a Vertical Permeable Plate

A Numerical Simulation of Convection and Conduction Heat Transfer for a Fluid in a Porous Medium

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