Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux

Megahed, Ahmed M.; Reddy, M. Gnaneswara; Abbas, W.

doi:10.1016/j.matcom.2021.01.011

Cited by 86 publications

(43 citation statements)

References 32 publications

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“…Mathematical relations are formulated with constitutive expressions that handle fluxes of the above-prescribed quantities [1]. Formulated equations, remained helpful to analyze the transport of heat, diffusion of chemical species, movement of geological flows, engineering applications, meteorology, material science, and medicines [2,3]. Molecular contact and Brownian motion [1] characterized the conductivity, diffusivity, and viscosity for the nanofluid in the flow domain.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer in a Fractional Nanofluid Flow through a Permeable Medium

Anwar¹,

Irfan

Hussain

et al. 2022

Mathematical Problems in Engineering

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This study examines viscoelastic fractional nanofluid flow through Darcy medium. Memory characteristics due to elasticity are explored with noninteger time derivatives. The unsteady motion of MHD flow is modeled by nonlinear differential equations. Buoyancy forces are incorporated via convection parameters in the flow domain. Fractional relaxation time is considered to control the propagation speed of temperature. A finite difference, along with finite element, a numerical algorithm has been developed for the computation of governing flow equations. Friction coefficient, Sherwood numbers, and Nusselt numbers are computed for the noninteger derivative model. Simulations revealed that noninteger numbers have congruous behavior for concentration, temperature, and velocity fields. It is also noted that heat flux, δ 1 , and mass flux, δ 2 , numbers have contradictory effects on the friction coefficient. Various flows, particularly in polymer industries and electrospinning for the production of nanofibers, can be tackled in a comparable pattern.

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Section: Introductionmentioning

confidence: 99%

Heat Transfer in a Fractional Nanofluid Flow through a Permeable Medium

Anwar¹,

Irfan

Hussain

et al. 2022

Mathematical Problems in Engineering

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“…Refs. [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] can be used to examine past and recent trends. Besides this, heat transmission and transport phenomena in porous media are significant processes in many technical applications, including heat pipe technology, chemical catalytic reactors, electronic cooling, pack-sphere bed, and heat exchangers, to name a few.…”

Section: Introductionmentioning

confidence: 99%

A Group Theoretic Analysis of Mutual Interactions of Heat and Mass Transfer in a Thermally Slip Semi-Infinite Domain

et al. 2022

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Group theoretic analysis is performed to get a new Lie group of transformations for non-linear differential systems constructed against mass and heat transfer in the thermally magnetized non-Newtonian fluid flow towards a heated stretched porous surface. The energy equation is used with additional effects, namely heat sink and heat source. The chemical reaction is also considered by the use of the concentration equation. The symmetry analysis helps us in numerical computations of surface quantities for (i) permeable and non-permeable surfaces, (ii) thermal slip and non-thermal slip flows, (iii) magnetized and non-magnetized flows, (iv) chemically reactive and non-reactive flows. For all these cases, the concerned emerging partial differential system is transformed into a reduced ordinary differential system and later solved numerically by using the shooting method along with the Runge-Kutta scheme. The observations are debated graphically, and numerical values are reported in tabular forms. It is noticed that the heat transfer rate increases for both the thermal slip and non-slip cases. The skin friction coefficient declines towards the Weissenberg number in the magnetized field.

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“…Most recent studies have well documented the effect of fluid flow and simultaneous heat transfer in the systems under sundry conditions. [1][2][3][4][5][6][7] Further, convection due to oscillating force has been given more attention by researchers both theoretically and experimentally. The hydrodynamic system with oscillating force in Heat Transfer.…”

Section: Introductionmentioning

confidence: 99%

“…For the study of these complex flow patterns researchers have adopted the conservation of laws and have recorded some interesting observations. Most recent studies have well documented the effect of fluid flow and simultaneous heat transfer in the systems under sundry conditions 1–7 …”

Section: Introductionmentioning

confidence: 99%

Comparative study of sinusoidal and non‐sinusoidal two‐frequency internal heat modulation in a Rayleigh‐Bénard system

Mathew

Pranesh

2021

Heat Trans

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A linear stability analysis is assented to investigate the effect of two‐frequency internal heat modulation at the onset of convection in a Newtonian liquid. The correction Rayleigh number and wave number for small amplitudes is calculated using the Venezian approach. Under two‐frequency internal heat modulation, the motion is found to be subcritical. To quantify heat transfer in the system, the three‐mode Lorenz model is solved numerically. Various combinations of sinusoidal and non‐sinusoidal waveforms influence the onset of convection and heat transfer in the system due to two‐frequency internal heat modulation. The parameters' influence on heat transfer is seen to be dependent on the presence of a heat source or sink.

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Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux

Cited by 86 publications

References 32 publications

Heat Transfer in a Fractional Nanofluid Flow through a Permeable Medium

Heat Transfer in a Fractional Nanofluid Flow through a Permeable Medium

A Group Theoretic Analysis of Mutual Interactions of Heat and Mass Transfer in a Thermally Slip Semi-Infinite Domain

Comparative study of sinusoidal and non‐sinusoidal two‐frequency internal heat modulation in a Rayleigh‐Bénard system

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