Marangoni Boundary Layer Flow and Heat Transfer of Graphene–Water Nanofluid with Particle Shape Effects

Rashid, Umair; Băleanu, Dumitru; Liang, Haiyi; Abbas, Muhammad; Iqbal, Azhar; Rahman, Jamshid ul

doi:10.3390/pr8091120

Cited by 18 publications

(3 citation statements)

References 37 publications

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“…The unsteady flow of Eyring-Powell fluid considering the magnetic effects has deliberated by Naseem et al [49]. Rashid et al [50] documented the suction variable affect and the geometric impact of nanomaterials on the nanoliquid flow and energy conduction across a permeable medium. The Darcy Forchhemier nanoliquid through permeable medium is addressed by Tlili et al [51].…”

Section: Introductionmentioning

confidence: 99%

A stratified MHD flow of Eyring‐Powell fluid containing gyrotactic microorganisms through a stretching sheet with mixed convection

et al. 2023

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The aim of this effort is to examine the steady, laminar, and incompressible flow of Eyring-Powell fluid containing gyrotactic microorganisms through a stratified stretching surface. For stabilizing the distributed nanoparticles through bioconvection, which is tempted by magnetic field and buoyancy forces, the microorganisms' theory is utilized. The nonlinear system of equations is treated with a semi-analytical approach. Convergence of series solutions of the nonlinear system is displayed. The variations in momentum, concentration, thermal and motility distributions are exhibited graphically. Sherwood number, skin friction, motile density number, and Nusselt number are exhibited numerically in tabular forms. It has been found that the augmenting the thermal stratification, mass stratification, and motile density stratification factors have retarded the thermal, mass, and motile density of the microbes. Heightening Brownian motion, Schmidt number, and mass stratification parameter boost the Sherwood number, while reduces with thermophoresis constraint. The rise in concentration difference factor and Peclet number intensify the motile density number, while the accelerating values of stratification parameter of motile density and bioconvective Lewis number decline the motile density number.

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Section: Introductionmentioning

confidence: 99%

A stratified MHD flow of Eyring‐Powell fluid containing gyrotactic microorganisms through a stretching sheet with mixed convection

et al. 2023

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“…They concluded that the Brownian motion parameter predominantly augments the heat transfer rate. Some more recent interesting studies works can be found in [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Thermo‐solutal Marangoni convective assisting/resisting flow of a nanofluid with radiative heat flux: A model with heat transfer optimization

Mackolil

Mahanthesh

2022

Z Angew Math Mech

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The mixed Marangoni assisting/resisting flow of a nanofluid with thermal radiative heat flux is analyzed when thermal and solutal buoyant forces are significant. The heat and mass transfer rates are simultaneously optimized by utilizing the Response Surface Methodology (RSM). The face-centered Central Composite Design (fc-CCD) is used for the numerical experimental design involved in RSM. The sensitivities of the heat and mass transfer rates are evaluated to compare the impact of the thermal and solutal buoyant forces. Appropriate scaling and similarity transformations are utilized to simplify the problem and then numerical solutions are obtained. The nanoliquid flow, temperature, and concentration profiles are plotted for the buoyancy assisting and opposing Marangoni cases. The Marangoni flow with opposite buoyancy is found to have a greater magnitude of velocity while the flows assisted by the buoyancy have a greater magnitude of temperature and concentration profiles. Thermal buoyancy force has a predominant (0.6%) impact on both heat and mass transfer rates compared to solutal buoyancy force. Buoyancy forces are positively sensitive to heat and mass transfer rates. The thermal radiation aspect augments the temperature profile throughout the domain. The optimized mass and heat transfer rates (𝑁𝑢 𝑥 = 11.6016 and 𝑆ℎ 𝑥 = 3.8158) is achieved at the highest level of the buoyancy forces and ratio of Marangoni numbers.

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“…Numerical computations of Maxwell material driven by a spinning disc subjected to the thermophoresis and Cattaneo-Christov theory was carried out by Shehzad et al [35]. Many authors, such as Rasool et al [36] and Rashid et al [37], contributed to the study of Marangoni's convective flow. However, the Marangoni convection in Casson material flow generated by disk surface is limited.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer of Nanomaterial over an Infinite Disk with Marangoni Convection: A Modified Fourier’s Heat Flux Model for Solar Thermal System Applications

et al. 2021

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The demand for energy due to the population boom, together with the harmful consequences of fossil fuels, makes it essential to explore renewable thermal energy. Solar Thermal Systems (STS’s) are important alternatives to conventional fossil fuels, owing to their ability to convert solar thermal energy into heat and electricity. However, improving the efficiency of solar thermal systems is the biggest challenge for researchers. Nanomaterial is an effective technique for improving the efficiency of STS’s by using nanomaterials as working fluids. Therefore, the present theoretical study aims to explore the thermal energy characteristics of the flow of nanomaterials generated by the surface gradient (Marangoni convection) on a disk surface subjected to two different thermal energy modulations. Instead of the conventional Fourier heat flux law to examine heat transfer characteristics, the Cattaneo–Christov heat flux (Fourier’s heat flux model) law is accounted for. The inhomogeneous nanomaterial model is used in mathematical modeling. The exponential form of thermal energy modulations is incorporated. The finite-difference technique along with Richardson extrapolation is used to treat the governing problem. The effects of the key parameters on flow distributions were analyzed in detail. Numerical calculations were performed to obtain correlations giving the reduced Nusselt number and the reduced Sherwood number in terms of relevant key parameters. The heat transfer rate of solar collectors increases due to the Marangoni convection. The thermophoresis phenomenon and chaotic movement of nanoparticles in a working fluid of solar collectors enhance the temperature distribution of the system. Furthermore, the thermal field is enhanced due to the thermal energy modulations. The results find applications in solar thermal exchanger manufacturing processes.

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Marangoni Boundary Layer Flow and Heat Transfer of Graphene–Water Nanofluid with Particle Shape Effects

Cited by 18 publications

References 37 publications

A stratified MHD flow of Eyring‐Powell fluid containing gyrotactic microorganisms through a stretching sheet with mixed convection

A stratified MHD flow of Eyring‐Powell fluid containing gyrotactic microorganisms through a stretching sheet with mixed convection

Thermo‐solutal Marangoni convective assisting/resisting flow of a nanofluid with radiative heat flux: A model with heat transfer optimization

Heat Transfer of Nanomaterial over an Infinite Disk with Marangoni Convection: A Modified Fourier’s Heat Flux Model for Solar Thermal System Applications

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