Heat transfer exaggeration and entropy analysis in magneto-hybrid nanofluid flow over a vertical cone: a numerical study

Hanif, Hanifa; Khan, İlyas; Shafie, Sharidan

doi:10.1007/s10973-020-09256-z

Cited by 70 publications

(20 citation statements)

References 66 publications

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“…Bejan 25,26 initially suggested the term entropy generation minimization for quantifying the disorders in the isolated system. Hanif et al 27 explored the entropy production of a hybrid nanofluid flow through an inverted cone, considering the effects of a uniform magnetic field. They witnessed an incredible increase in the heat transfer rate with the increase in the hybrid nanoparticle volume fraction.…”

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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“…With foregoing assumptions and employing Boussinesq approximation boundary layer theory with thermal radiation and viscous dissipation effects, the transport equations of the hybrid nanofluid flow for momentum and energy transfer are established as follows 43,45,46

\frac{\partial (italicru)}{\partial x} + \frac{\partial (italicrw)}{\partial y} = 0,

\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} + w \frac{\partial u}{\partial z} - \frac{v^{2}}{x} = \frac{1}{ρ_{hnf}} \frac{\partial}{\partial z} (μ_{hnf} \frac{\partial u}{\partial z}) - \frac{ν_{hnf}}{K} u + g {(β_{t})}_{hnf} (T - T_{\infty}) \cos θ *,

\frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + w \frac{\partial v}{\partial z} + \frac{u v}{x} = \frac{1}{ρ_{hnf}} \frac{\partial}{\partial z} (μ_{hnf} \frac{\partial v}{\partial z}) - \frac{ν_{hnf}}{K} v,

\frac{\partial T}{\partial t} + u \frac{\partial T}{\partial x} + w \frac{\partial T}{\partial z} = \frac{1}{{(ρ c_{p})}_{hnf}} \frac{\partial}{\partial z} (k_{hnf} \frac{\partial T}{\partial z}) - \frac{1}{{(ρ c_{p})}_{hnf}} \frac{\partial q_{r}}{\partial z} + \frac{μ_{hnf}}{{(ρ c_{p})}_{hnf}} (][, (\frac{\partial u}{...}))

…”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

“…The initial values and boundary conditions best suited to the physical problem are as follows 43,46

\begin{matrix} left \\ t \leq 0 : & u = 0, v = 0, & w = 0, & T = T_{\infty} & \forall x, y, z \\ t > 0 : u = u_{0}, & v = \frac{1}{1 - ζ t *} Ω x \sin θ *, & w = 0, & T = T_{w} & a t z = 0 \\ u \to 0, v \to 0, & T \to T_{\infty} & a s & z \to \infty \end{matrix},

where

normalζ

is unsteadiness parameter and

t^{⁎} = (normalΩ normalsin θ^{⁎}) t

denotes dimensionless time.…”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

“…They added that the maximum value is for the hybrid nanofluid with blade‐shaped nanoparticles, whereas the minimum value is for brick‐shaped nanoparticles. Hanif et al 46 examined entropy analysis for unsteady mixed convection in Cu–Fe 3 O 4 /water magnetohybrid nanofluid flow over an inverted cone surrounded by a porous medium, and they witnessed that heat transfer rate improves with increasing values of hybrid nanoparticles volume fraction. Also, they reported that heat transfer coefficient reaches higher rates in mixed convection flow as compared with natural convection.…”

Section: Introductionmentioning

confidence: 99%

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Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity

Tulu

Ibrahim

2021

Heat Trans

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This work analyzed the effects of variable viscosity and thermal conductivity, with mixed convection, thermal radiation and viscous dissipation effects, on multiwalled carbon nanotubes (MWCNTs)–aluminum oxide (Al2O3)/engine oil hybrid nanofluid flow due to a vertically inverted spinning cone embedded in a porous medium. Using suitable similarity transformation, the boundary layer fluid flow governing equations are transformed into dimensionless systems of coupled nonlinear ordinary differential equations. Then, the solutions are obtained numerically employing the spectral relaxation method. The influences of involved parameters are examined, and the results are presented with graphs and tables. The obtained results disclose that both the tangential and azimuthal skin friction coefficients increase with increasing values of temperature‐dependent viscosity and mixed convection parameters. The local heat transfer rate reduces with increasing values of the Eckert number and variable thermal conductivity parameter, whereas it enhances with greater values of the thermal radiation parameter. Generally, hybrid nanofluids of (MWCNTs–Al2O3)/engine oil show better flow distributions with good stability of thermal properties than MWCNTs/engine oil and Al2O3/engine oil mono‐nanofluids.

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“…The analysis of entropy generation minimization has crucial applications in the solar heat exchanger, 1 industrial heat transfer problems, turbomachinery designing, 2 cooling in nuclear fuel rods, in LED‐based spotlights, 3 in designing of air‐cooled gas turbine blades, 4 rotating reactors, in chillers, air separators, 5 and so forth. Furthermore, entropy generation with MHD flow has applications in MHD generators, nuclear reactors, flow meters, micropumps, power plants, 6 and so forth. Heating and cooling are significant events in the major industrial and engineering sectors, particularly in electronic devices.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation analysis in magnetohydrodynamic Sisko nanofluid flow with chemical reaction and convective boundary conditions

Bisht

Sharma

2020

Math Methods in App Sciences

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The main emphasis of the present study is to analyze the novel feature of entropy generation in the flow and heat transfer of Sisko nanofluid over a stretching sheet in the presence of the magnetic field, chemical reaction, and convective boundary conditions. Buongiorno's nanofluid model is used to consider the effect of Brownian diffusion and thermophoresis. The governing Sisko nanofluid flow equations comprising the momentum, nanoparticle volume fraction, and energy are reduced to nonlinear differential equations by utilizing appropriate similarity variables. The numerical solution of nonlinear coupled differential equations is obtained using the finite difference scheme in combination with the quasilinearization technique. The impact of different physical parameters on velocity, nanoparticle volume fraction, and temperature is presented graphically. The variation in entropy generation and Bejan number with different pertinent parameters that characterize the entropy generation phenomenon for the flow of Sisko nanofluid is discussed. The obtained results indicate that the entropy generation enhances with an increase in the magnetic parameter, Brinkman number, and thermal Biot number while reduces with the Sisko material parameter. Moreover, the behavior of mass and heat transfer rates is displayed through the Brownian diffusion parameter and thermophoresis parameter. The analysis of entropy generation minimization has crucial applications in the industrial heat transfer problems, solar heat exchanger, turbomachinery designing, LED‐based spotlights, designing of air‐cooled gas turbine blades, cooling in nuclear fuel rods, rotating reactors, in chillers, air separators, and so forth. Furthermore, entropy generation with MHD flow has applications in MHD generators, nuclear reactors, flow meters, micropumps, power plants, and so forth.

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Heat transfer exaggeration and entropy analysis in magneto-hybrid nanofluid flow over a vertical cone: a numerical study

Cited by 70 publications

References 66 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

Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity

Entropy generation analysis in magnetohydrodynamic Sisko nanofluid flow with chemical reaction and convective boundary conditions

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Heat transfer exaggeration and entropy analysis in magneto-hybrid nanofluid flow over a vertical cone: a numerical study

Cited by 70 publications

References 66 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

Mixed convection hybrid nanofluids flow of MWCNTs–Al2O3/engine oil over a spinning cone with variable viscosity and thermal conductivity

Entropy generation analysis in magnetohydrodynamic Sisko nanofluid flow with chemical reaction and convective boundary conditions

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Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity