A computational study of unsteady radiative magnetohydrodynamic Blasius and Sakiadis flow with leading‐edge accretion (ablation)

Mabood, Fazle; Khan, Waqar A.

doi:10.1002/htj.21666

Cited by 13 publications

(5 citation statements)

References 42 publications

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“…The temperature of the sheet surface is the result of a convective heating process which has characterized by a temperature Tf and a heat transfer coefficient h f . Associated with these norms with the Bossinesq and the boundary layer estimations, boundary layer flow for continuity, momentum, and nanoparticles concentration equations [14,36] are described as:…”

Section: Description Of Physical Modelmentioning

confidence: 99%

“…The perception of contemporary study emerges from the pursuit of enhanced heat transportation. In recent exploration on unsteady Sakiadis and Blasius flows influenced by thermal radiation, leading-edge ablation/ accretion, and magnetic field as presented by Mabood and Khan [36]. The main focus is the extension of this study with the insertion of magnetohydrodynamic (MHD), Biot number Bi in the generalized base fluid (Nanofluid) with convective boundary condition, and the Cattaneo-Christov heat flux model.…”

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confidence: 99%

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Finite element analysis of unsteady MHD Blasius and Sakiadis flow with radiation and thermal convection using Cattaneo-Christov heat flux model

et al. 2021

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A theoretical study is performed on the effect of magnetohydrodynamic field, Biot number on classical Blasius and Sakiadis flows of heat transfer characteristics over a sheet by using the Cattaneo-Christov flux model. Many technical processes involving hydromagnetics flows and thermal expansion in the porous medium have been studied in recent years, such as casting, compact heat exchangers, liquid metal filtering, fusion control, and nuclear reactor cooling. A uniform magnetic field acts perpendicular to the sheet, with a source of radiative heat and a convective condition at the boundary. Appropriate similarity transforms have been used to convert the governing nonlinear partial differential equations to their ordinary differential form. Galerkin numerical technique is harnessed to yield a solution that looks into the varying behaviors of the concentrations, flow speed, temperature in the boundary layers, and gradients of these quantities at the boundary due to parametric variation. The effect of governing physical parameters over the velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number are demonstrated graphically. The utmost pertinent consequences of this study are the enrichment in the strength of magnetic field reduces the velocity flows creating lesser velocity of the boundary layer flow in both the Sakiadis and Blasius. In addition, Biot number, radiation parameter, and thermophoresis parameter made directly increasing impact on the temperature but the opposite effect of thermal relaxation on the temperature profile is observed. The convergence of numerical technique is noticed for optimum meshing and the accuracy of the presented results has been verified with an excellent comparison of present results with previous studies. Nomenclature T Fluid temperature (K ) C Nanoparticle's concentration/L T¥ Temperature away from the surface (K ) C¥ Concentration away from the surface ũw Uniform free stream velocity (m/s) DT Thermophoretic diffusion coefficient (m 2 /s) DB Brownian diffusion (m 2 /s) qr Radiative heat flux (W/m 2 ) δ Thermal relaxation parameterRECEIVED

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Section: Description Of Physical Modelmentioning

confidence: 99%

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confidence: 99%

Finite element analysis of unsteady MHD Blasius and Sakiadis flow with radiation and thermal convection using Cattaneo-Christov heat flux model

et al. 2021

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“…6 Here, 1st order equivalences were obtained for the above said equations. Next, appropriate opening guesstimates were implemented to fulfil the conditions [30]. The flow chart for numerical scheme is reported in figure 2.…”

Section: Mathematical Modellingmentioning

confidence: 99%

“…Kumar et al [29] analyzed the above alluded flow of hybrid nano fluid with aligned magnetic field. Mabood et al [30] gave a computational study on Blasius-Sakiadis flow with unsteady radiative heat transfer.…”

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confidence: 99%

A static and dynamic approach of aluminum alloys (AA7072-AA7075) over a semi-infinite heated plate

Reddy¹,

Kumar²,

Shehzad³

2020

Phys. Scr.

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The nano-particles in Darcy-Forchheimer porous space are potentially useful in heating and cooling processes, power generation process, microprocessor, glass fiber, extrusion process, damage of crops due to freezing and many others. Due to such potential implications in industry and technology, the Blasius and Rayleigh-Stokes flow of aluminum alloys (AA7072-AA7075) over a semi-infinite heated plate in Darcy-Forchheimer porous space under the influence of nonlinear radiation with Koo and Kleinstreuer model is reported in this investigation. The similarity conversion is performed to reform the governing into buckle-nonlinear of more advanced order. The numerical explanation is accessed for the abridged governing equations with the assistance of RKF-45 technique. Then, the numerical forecast identifies the velocity and temperature distribution thoroughly for the effects of different budding parameters related to present analysis by means of graphs. The nature of Nusselt number and friction factors is visualized through numerical data against the distinct values of influential constraints. The friction factors values are decaying against the incrementing Forchheimer parameter values. The Nusselt number is reduced for higher radiation and nanoparticles volume fraction constraints values.

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“…The influence of radiation, Joule heating, and the Cattaneo-Christov theory applied to a Blasius-Rayleigh-Stokes flow towards a transitive magnetic field was discussed by Reddy et al [45]. Several scholars have published studies on the Blasius-Rayleigh-Stokes variables in recent decades [46,47].…”

Section: Introductionmentioning

confidence: 99%

Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law

Ying-zi

Zhang²,

Abdeljawad

et al. 2022

Nanomaterials

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The effect of Stefan blowing on the Cattaneo–Christov characteristics of the Blasius-Rayleigh-Stokes flow of self-motive Ag-MgO/water hybrid nanofluids, with convective boundary conditions and a microorganism density, are examined in this study. Further, the impact of the transitive magnetic field, ablation/accretion, melting heat, and viscous dissipation effects are also discussed. By performing appropriate transformations, the mathematical models are turned into a couple of self-similarity equations. The bvp4c approach is used to solve the modified similarity equations numerically. The fluid flow, microorganism density, energy, and mass transfer features are investigated for dissimilar values of different variables including magnetic parameter, volume fraction parameter, Stefan blowing parameter, thermal and concentration Biot number, Eckert number, thermal and concentration relaxation parameter, bio-convection Lewis parameter, and Peclet number, to obtain a better understanding of the problem. The liquid velocity is improved for higher values of the volume fraction parameter and magnetic characteristic, due to the retardation effect. Further, a higher value of the Stefan blowing parameter improves the liquid momentum and velocity boundary layer thickness.

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A computational study of unsteady radiative magnetohydrodynamic Blasius and Sakiadis flow with leading‐edge accretion (ablation)

Cited by 13 publications

References 42 publications

Finite element analysis of unsteady MHD Blasius and Sakiadis flow with radiation and thermal convection using Cattaneo-Christov heat flux model

Finite element analysis of unsteady MHD Blasius and Sakiadis flow with radiation and thermal convection using Cattaneo-Christov heat flux model

A static and dynamic approach of aluminum alloys (AA7072-AA7075) over a semi-infinite heated plate

Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law

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