A Study of Thermally Radiant Williamson Nanofluid Over an Exponentially Elongating Sheet with Chemical Reaction Via Homotopy Analysis Method

Kumar, P. Vijaya; Sunitha, Cheela; Lorenzini, Giulio; Ibrahim, S. Mohammed

doi:10.37934/cfdl.14.5.6886

Cited by 7 publications

(5 citation statements)

References 27 publications

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“…The similarity solutions are only existed by employing the similarity transformation as follows [30], [31]: (6) where the stream function is defined by and . Using Eq.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Flow and Heat Transfer Analysis on Reiner-Philippoff Fluid Flow over a Stretching Sheet in the Presence of First and Second Order Velocity Slip and Temperature Jump Effects

Ariffin

Waini

Kasim

et al. 2023

CFDL

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Most of the fluid used in industrial application (i.e. Oils and gas industry, food manufacturing, lubrication and biomedical) do not conform to the Newtonian postulate. In contrast to the Newtonian fluid, the viscosity of the fluid can change when under force to either more liquid or more solid and dependent on shear rate history. This behaviour of fluids is commonly known as non-Newtonian fluid. The non-Newtonian fluid is so widespread in nature and technology resulting in very high interest of investigating among scientist. The Reiner-Philippoff fluid is one of the types of non-Newtonian fluid models that exhibiting the dilatant, pseudoplastic and Newtonian behaviors. Hence, this study is devoted to analyze the flow and heat transfer of Reiner-Philippoff fluid with the presence of first and second order velocity slip together with the temperature jump effects over a stretching sheet. Partial differential equations of continuity, momentum and energy equations were transformed into the similarity equations. The obtained equations were then solved via bvp4c function in MATLAB software. For the validation purpose, the present model and its numerical solution were compared with previous established solutions under limiting case where the present model is condensed to be identical with the reported model and turn to be in very strong agreement. The consequences of pertinent parameters on fluid’s characteristics are analyzed in details through the plotted graphic visuals and tabular form.

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“…The similarity solutions are only existed by employing the similarity transformation as follows [30], [31]: (6) where the stream function is defined by and . Using Eq.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Flow and Heat Transfer Analysis on Reiner-Philippoff Fluid Flow over a Stretching Sheet in the Presence of First and Second Order Velocity Slip and Temperature Jump Effects

Ariffin

Waini

Kasim

et al. 2023

CFDL

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“…Numerous researchers investigated numerous facets of Newtonian fluid under diverse conditions as can be observed in Ref. [34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis Study of Chemically Radiative MHD Williamson Nanofluid Flow over an Inclined Surface with Heat Source

Mini Gopinathan. Sumathi,

Vijayakumar Prathi,

Ibrahim Shaik Mohammed

2024

CFDL

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The design and optimization of systems such as nuclear reactors, solar collectors, and thermal power plants may benefit from an understanding of the behaviour of nanofluids with chemical processes, thermal radiation, and magnetic fields over inclined surfaces with heat sources.This review looks at the magnetohydrodynamic (MHD) flow of a Williamson nanofluid over an inclinable stretched sheet and the impact of thermal radiation, heat source, and chemical processes. The outcomes of the generation of heat or absorption, as well as thermal radiation, are all factored into account in the energy equation. On the other hand, the mass transport equation also takes into account chemical interactions.The similarity substitution serves to turn the governed partial differential equations for velocity, temperature, and concentration into ordinary differential equations, which are then numerically resolved with Mathematica's NDSolve program. Changes in temperature, concentration, and dimensionless velocity as a function of various factors are graphically touched upon. The temperature diminishes while the Prandtl number accelerates as the thermal boundary layer thins and the viscosity enrichment. The temperature contour develops along with the magnetic field strength. When all the parameters were compared for a particular case, a very good association was discovered. Depending on the precise conclusions and understandings drawn from the investigation of chemically radiative MHD nanofluid flow over inclined surfaces with a heat source, the applications may range greatly. It's important to remember that such research often aids in the creation of more effective and environmentally friendly solutions in a variety of sectors.

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“…Ali et al, [34] investigated MHD flow of nanofluid over a moving thin needle with impacts of nanoparticle aggregation and viscous dissipation. Nanofluid flow over stretching/shrinking sheets has been studied by several researchers using a variety of theoretical approaches [35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

“…Makhdoum et al, [35] studied the effect of an angled Lorentz force, viscous dissipation, and a permeable stretching surface on nanofluid flow is investigated Researchers [36][37][38][39] have shown interest in nanoparticles and nanofluids.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulations of Chemically Dissipative MHD Mixed Convective Non-Newtonian Nanofluid Stagnation Point Flow over an Inclined Stretching Sheet with Thermal Radiation Effects

Gopinathan. Sumathi. Mini,

Prathi Vijaya Kumar,

Mohammed Ibrahim Shaik

2024

CFDL

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The study of non-Newtonian nanofluid stagnation point flow over an inclined stretching sheet with thermal radiation effects aims to understand how the fluid's non-Newtonian behavior, nanoparticles, the inclined sheet, and thermal radiation affect velocity profiles, temperature distribution, shear stress, and heat transfer rates. It might be used in materials processing, chemical engineering, and energy systems, where understanding fluid behavior in complicated settings is essential for process optimization and system efficiency. The flow problem is reflected in a set of partial differential equations (PDEs) that serve as the governing equations. After appropriate reformatting into Ordinary Differential Equations (ODEs). Mathematica's NDSolve technique is implemented to do a numerical treatment of the dimensionless equations once they have been translated. The upsides of this strategy lie in its ability to automatically track errors and select the best algorithm. Various dimensionless parameters effects on velocity, temperature, and nanoparticle concentration have been studied, and the results are graphically shown. These include the Casson parameter, Brownian motion and thermophoresis, chemical reaction parameter, thermal radiation, viscous dissipation, and mixed convection parameter. The Casson parameter slows down the velocity and speeds up the distributions of temperature and concentration. The skin friction coefficient increases rapidly with increasing tilt and thermophoretic impact amplitudes. The insights were cross-referenced with previous inquiries in order to validate their veracity. All indications are that it complies rigorously and is highly accurate.

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A Study of Thermally Radiant Williamson Nanofluid Over an Exponentially Elongating Sheet with Chemical Reaction Via Homotopy Analysis Method

Cited by 7 publications

References 27 publications

Flow and Heat Transfer Analysis on Reiner-Philippoff Fluid Flow over a Stretching Sheet in the Presence of First and Second Order Velocity Slip and Temperature Jump Effects

Flow and Heat Transfer Analysis on Reiner-Philippoff Fluid Flow over a Stretching Sheet in the Presence of First and Second Order Velocity Slip and Temperature Jump Effects

Numerical Analysis Study of Chemically Radiative MHD Williamson Nanofluid Flow over an Inclined Surface with Heat Source

Numerical Simulations of Chemically Dissipative MHD Mixed Convective Non-Newtonian Nanofluid Stagnation Point Flow over an Inclined Stretching Sheet with Thermal Radiation Effects

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