An exact analysis of radiative heat transfer and unsteady MHD convective flow of a second‐grade fluid with ramped wall motion and temperature

Anwar, Talha; Asifa,; Khan, İlyas; Thounthong, Phatiphat

doi:10.1002/htj.21871

Cited by 14 publications

(12 citation statements)

References 58 publications

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“…These particles consume more energy than the microparticulates in opposing current magnetic fields tolerable in humans such as in cancer treatment. Anwar et al 11 mathematically investigated the radiative MHD flows of a second‐grade fluid past a vertically infinite porous plate using Laplace transformation. They observed that the heat transfer rate exhibits an instant rise under ramped surface temperature.…”

Section: Introductionmentioning

confidence: 99%

Entropy analysis of magnetohydrodynamic nanofluid transport past an inverted cone: Buongiorno's model

Vedavathi

Dharmaiah

Gaffar³

et al. 2020

Heat Trans

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The entropy analysis of the magnetohydrodynamic (MHD) thermal convection flow of a nanofluid past an inverted cone with suction/injection is presented in this article. The Buongiorno's model is adopted for nanofluid transport, considering the Brownian motion and thermophoresis effects. The governing partial differential conservation equations and wall and freestream boundary conditions are rendered into a nondimensional form and solved computationally using the Keller‐Box finite‐difference method. The entropy analysis due to MHD fluid flow and viscous dissipation is also included. The numerical results are presented graphically for the impact of various thermophysical parameters on velocity, temperature, nanoparticle volume fraction, shear stress rate, heat transfer rate, and mass transfer. Validations with earlier solutions in the literature are also included. A comprehensive description of the simulations is included. It is observed that velocity and temperature are enhanced with the increase in Brownian motion parameter values, whereas concentration, entropy, and Bejan number are reduced. An increase in the thermophoresis parameter and buoyancy ratio parameter reduces velocity and entropy, but increases temperature, concentration, and Bejan number. An increase in the magnetic parameter is found to decrease velocity, entropy generation number, and Bejan number, but it increases temperature and concentration. Also, an increase in the suction/injection parameter is seen to reduce velocity, temperature, concentration, and Bejan number, but the entropy generation number is observed to increase. The study finds applications in heat exchangers technology, materials processing, solar energy systems, cooling and heating processes, environmental applications, geothermal energy storage, and so on.

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Section: Introductionmentioning

confidence: 99%

Entropy analysis of magnetohydrodynamic nanofluid transport past an inverted cone: Buongiorno's model

Vedavathi

Dharmaiah

Gaffar³

et al. 2020

Heat Trans

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“…The velocity field for the ABC derivative is higher than the CF and Caputo FDs. Figure 13 presents the comparison between velocity solutions of the present problem, that is, when ε 1 → and Gm = 0 and Talha Anwar et al 33 for different values of t. The respective figure specifies that both solutions are in excellent agreement.…”

Section: Resultsmentioning

confidence: 78%

“…Hence, it plays the role of dragging force and reduces the velocity of the fluid. In short, it is observed that the magnetic field in the flow region significantly reduces the speed F I G U R E 13 Velocity comparison of the present problem for Caputo, CF, and ABC with Reference [33] [Color figure can be viewed at wileyonlinelibrary.com] of fluid's motion. These physical arguments justify observed behaviors of velocity boundary layer and velocity profile.…”

Section: Resultsmentioning

confidence: 83%

“…As ε approaches to 1 and Gm = 0 then the velocity equations ( 45), (49), and (53) represent the same result discussed in Reference [33]. The numerical and computational techniques are used to evaluate the Laplace inverse via Stehfest's 43 and Tzou's algorithms.…”

Section: Atangana-baleanu Time Derivativesmentioning

confidence: 93%

“…They consider the Maxwell fluid and investigate the heat and mass transfer with the integer and noninteger-order derivative. Some further investigation of fluid flows and their properties equipped with FD is established in References [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Applications of combined impact of heat and mass transfer in engineering, applied sciences, and FC, since they are connected to the historical data (memory effect).…”

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confidence: 99%

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Heat and mass transport impact on MHD second‐grade fluid: A comparative analysis of fractional operators

et al. 2021

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The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by a mass transfer process; for instance, condensation, evaporation, and chemical process. Due to the applications of the heat and mass transfer combined effects in different fields, the main aim of this paper is to do a comprehensive analysis of heat and mass transfer of magnetohydrodynamic (MHD) unsteady second-grade fluid in the presence of ramped conditions. The new governing equations of MHD second-grade fluid have been fractionalized by means of singular and nonsingular differentiable operators. To have an accurate physical significance of imposed conditions on the geometry of second-grade fluid, the constant concentration with ramped temperature and ramped velocity is considered. The fractional solutions of temperature, concentration, and velocity have been investigated by means of integral transform and inversion algorithm. The influence of physical parameters and flow is analyzed graphically via computational software (MATHCAD-15). The velocity profile decreases by increasing the Prandtl number. The existence of a Prandtl number may reflect the control of the thickness and enlargement of the thermal effect.

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Magnetohydrodynamic boundary layer flow of nanofluid with variable chemical reaction in a radiative vertical plate

Rahman

Uddin

2021

Heat Trans

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The nanotechnology‐based nanofluid has extraordinary prospects in heat transfer engineering. Analysis of these applied nanofluids can yield the appropriate combinations of various useful physical parameters. In the present study, the incompressible boundary layer flow of a nanofluid in the presence of the variable chemical reaction, temperature‐dependent viscosity, hydromagnetic force, and the radiation past an infinite vertical plate has been investigated. The governing nanofluid equations are simplified to ordinary differential equations, which are solved using the function bvp4c from MATLAB. The effects of the physical parameters including the similarity parameter, magnetic field, two dimensionless constant temperatures, Schmidt number, local Grashof number, radiation parameter, local chemical reaction parameter, kinematic diffusion parameter, and temperature‐independent kinematic diffusion parameter on the velocity, temperature, concentration and the local Nusselt number are demonstrated. The results show that as the magnetic field parameter increases, the heat transfer decreases, and the increase of the radiation parameter yields the opposite effect. The kinematic diffusion and the chemical reaction parameters greatly stimulate the concentration of nanofluid and reduce the heat transfer.

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An exact analysis of radiative heat transfer and unsteady MHD convective flow of a second‐grade fluid with ramped wall motion and temperature

Abstract: The influence of simultaneously applied ramped boundary conditions on unsteady magnetohydrodynamic natural convective motion of a secondgrade fluid is investigated and analyzed in this study.

Cited by 14 publications

References 58 publications

Entropy analysis of magnetohydrodynamic nanofluid transport past an inverted cone: Buongiorno's model

Entropy analysis of magnetohydrodynamic nanofluid transport past an inverted cone: Buongiorno's model

Heat and mass transport impact on MHD second‐grade fluid: A comparative analysis of fractional operators

Magnetohydrodynamic boundary layer flow of nanofluid with variable chemical reaction in a radiative vertical plate

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