Slip flow of hybrid nanofluid in presence of solar radiation

A theoretical model on MHD hybrid nanofluid flow in accordance with non-uniform heat flux and solar energy radiation has been studied in our work. Also, the impact of multiple slip conditions is presumed at the boundary. Comparative flow analyses for hybrid nanofluid (Al2O3/Cu–H2O) and single nanoparticle-based nanofluid (Cu–H2O) are addressed here with graphs and charts. The leading partial differential equations with boundary conditions have been converted into ordinary differential equations with the aid of similarity transformation. The final system is tackled via the fifth-order Runge–Kutta–Felberg method with shooting procedure and the computation is done using Maple 17. One of the interesting results shows that with the growth of thermal radiation, the Nusselt number for Cu–H2O is reduced by 26.16%, whereas for the same, Nusselt number for Al2O3/Cu–H2O is lessened by 27.38%. Fallout shows that with the growing values of velocity slip parameter, the thermal boundary layer thickness enlarges faster for Al2O3/Cu–H2O in comparison to Cu–H2O.

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Magnetohydrodynamic Hybrid Nanofluid Flow Past an Exponentially Stretching Sheet with Slip Conditions

Mathematics ◽

10.3390/math9243291 ◽

2021 ◽

Vol 9 (24) ◽

pp. 3291

Author(s):

Abdul Samad Khan ◽

He-Yong Xu ◽

Waris Khan

Keyword(s):

Nusselt Number ◽

Differential Equations ◽

Skin Friction ◽

Shrinking Sheet ◽

Hybrid Nanofluid ◽

Slip Parameter ◽

Nanofluid Flow ◽

Slip Conditions ◽

Exponentially Stretching ◽

The Impact

This study presents the magnetized hybrid nanofluid flow with heat source/sink over an exponentially stretching/shrinking sheet. Slip conditions are implemented to analyze the hybrid nanofluid flow for both slip and no-slip conditions. Additionally, the hybrid nanofluid of alumina and copper (hybrid nanoparticles) with blood (base fluid) has been considered and discussed with both suction and injection parameters. The appropriate similarity variables are used to convert partial differential equations (PDEs) into ordinary differential equations (ODEs) and solved analytically with the help of the homotopy analysis method (HAM). The impact of different embedded parameters has been shown in the form of graphs and tables. The numerical values of skin friction and Nusselt number are presented in the form of Tables for both slip and no-slip cases. It is summarized that the upsurge of the velocity slip parameter and magnetic parameter increases the skin friction, while the rising of the thermal slip parameter and heat generation parameter decreases the Nusselt number.

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Computational Modeling of Hybrid Sisko Nanofluid Flow over a Porous Radially Heated Shrinking/Stretching Disc

Coatings ◽

10.3390/coatings11101242 ◽

2021 ◽

Vol 11 (10) ◽

pp. 1242

Author(s):

Umair Khan ◽

Aurang Zaib ◽

Anuar Ishak ◽

Fahad S. Al-Mubaddel ◽

Sakhinah Abu Bakar ◽

...

Keyword(s):

Differential Equations ◽

Flow Problem ◽

Shear Thickening ◽

Hybrid Nanofluid ◽

Nanofluid Flow ◽

Shear Thinning Fluids ◽

Water Based ◽

New Type ◽

The Impact ◽

The Magnetic Field

The present study reveals the behavior of shear-thickening and shear-thinning fluids in magnetohydrodynamic flow comprising the significant impact of a hybrid nanofluid over a porous radially shrinking/stretching disc. The features of physical properties of water-based Ag/TiO2 hybrid nanofluid are examined. The leading flow problem is formulated initially in the requisite form of PDEs (partial differential equations) and then altered into a system of dimensionless ODEs (ordinary differential equations) by employing suitable variables. The renovated dimensionless ODEs are numerically resolved using the package of boundary value problem of fourth-order (bvp4c) available in the MATLAB software. The non-uniqueness of the results for the various pertaining parameters is discussed. There is a significant enhancement in the rate of heat transfer, approximately 13.2%, when the impact of suction governs about 10% in the boundary layer. Therefore, the heat transport rate and the thermal conductivity are greater for the new type of hybrid nanofluid compared with ordinary fluid. The bifurcation of the solutions takes place in the problem only for the shrinking case. Moreover, the sketches show that the nanoparticle volume fractions and the magnetic field delay the separation of the boundarylayer.

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Unsteady Electrohydrodynamic Stagnation Point Flow of Hybrid Nanofluid Past a Convective Heated Stretch/Shrink Sheet

Advances in Mathematical Physics ◽

10.1155/2021/6229706 ◽

2021 ◽

Vol 2021 ◽

pp. 1-9

Author(s):

Muhammad Jawad ◽

Rashid Jan ◽

Salah Boulaaras ◽

Ibni Amin ◽

Niaz Ali Shah ◽

...

Keyword(s):

Nusselt Number ◽

Heat Source ◽

Prandtl Number ◽

Stagnation Point ◽

Opposite Effect ◽

Velocity Slip ◽

Hybrid Nanofluid ◽

Similarity Transformations ◽

Electric And Magnetic Fields ◽

The Impact

Unsteady electrohydrodynamic hybrid nanofluid Al 2 O 3 ‐ Cu / H 2 O past a convective heat stretched/shrinked sheet is examined. A stagnation point fluid flow with velocity slip constrains and heat source or sink is deliberated. The combined set of PDEs is translated into ODEs by including approved similarity transformations. HAM is applied for the solution to the obtained nonlinear system. The magnetic input factor, Prandtl number, electric field factor, Eckert number, heat source factor, and unstable factor are the governing parameters. The impact of these factors on the temperature and velocity profiles features of the problem is considered with explanation. Intensification in values of electric and magnetic fields parameters enhanced the heat transfer rate. The greater Prandtl number lessens the temperature. Amplification in temperature is perceived for Eckert parameter. The heat transferred rate of hybrid nanofluid in the entire domain increases as the heat source increases, while the heat sink has the opposite effect. Skin friction and Nusselt number is increased for increasing values of magnetic field parameters. It is also noted that Nusselt number lessens for raising in Pr , E , and Ec . Furthermore, it is eminent that the hybrid nanofluid possesses better result compared to the nanofluid.

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MHD Hybrid Cu-Al2O3/ Water Nanofluid Flow with Thermal Radiation and Partial Slip Past a Permeable Stretching Surface: Analytical Solution

Journal of Nano Research ◽

10.4028/www.scientific.net/jnanor.64.75 ◽

2020 ◽

Vol 64 ◽

pp. 75-91 ◽

Cited By ~ 1

Author(s):

Nur Syahirah Wahid ◽

Norihan Md Arifin ◽

Mustafa Turkyilmazoglu ◽

Mohd Ezad Hafidz Hafidzuddin ◽

Nor Aliza Abd Rahmin

Keyword(s):

Differential Equations ◽

Thermal Radiation ◽

Temperature Profile ◽

Radiation Effects ◽

Velocity Slip ◽

Skin Friction Coefficient ◽

Partial Slip ◽

Hybrid Nanofluid ◽

Nanofluid Flow ◽

Exact Analytical Method

The influence of velocity slip and thermal radiation effects on the magnetohydrodynamic hybrid Cu-Al2O3/water nanofluid flow over a permeable stretching sheet is reported in this paper. The similarity transformation is adopted to reduce the partial differential equations to the ordinary differential equations. Exact analytical method is implemented to solve the problem. Maple program is used to facilitate the calculation process. The new additional effects which are the velocity slip and thermal radiation effects are considered towards the model to scrutinize the impacts. The effects of various parameters towards the velocity and temperature profiles are demonstrated through graphs, meanwhile the skin friction coefficient and the local Nusselt number are exhibited through the tabulation of data. The existence of velocity slip reduced the velocity profile but enhanced the temperature profile. The thermal radiation effect has increased the temperature profile. The heat transfer rate are enhanced for the case of hybrid nanofluid compared to the mono nanofluid.

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Impact of thermal radiation and non-uniform heat flux on MHD hybrid nanofluid along a stretching cylinder

Scientific Reports ◽

10.1038/s41598-021-99800-0 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Aamir Ali ◽

Tasmia Kanwal ◽

Muhammad Awais ◽

Zahir Shah ◽

Poom Kumam ◽

...

Keyword(s):

Magnetic Field ◽

Heat Flux ◽

Differential Equations ◽

Temperature Fields ◽

Uniform Heat Flux ◽

Hybrid Nanofluid ◽

Stretching Cylinder ◽

Uniform Heat ◽

Velocity And Temperature Fields ◽

The Impact

AbstractThe current research investigates the thermal radiations and non-uniform heat flux impacts on magnetohydrodynamic hybrid nanofluid (CuO-Fe2O3/H2O) flow along a stretching cylinder, which is the main aim of this study. The velocity slip conditions have been invoked to investigate the slippage phenomenon on the flow. The impact of induced magnetic field with the assumption of low Reynolds number is imperceptible. Through the use of appropriate non-dimensional parameters and similarity transformations, the ruling PDE’s (partial differential equations) are reduced to set of ODE’s (ordinary differential equations), which are then numerically solved using Adams–Bashforth Predictor–Corrector method. Velocity and temperature fields with distinct physical parameters are investigated and explored graphically. The main observations about the hybrid nanofluid and non-uniform heat flux are analyzed graphically. A decrease in the velocity of the fluid is noted with addition of Hybrid nanofluid particles while temperature of the fluid increases by adding the CuO-Fe2O3 particles to the base fluid. Also, velocity of the fluid decreases when we incorporate the effects of magnetic field and slip. Raise in curvature parameter γ caused enhancement of velocity and temperature fields at a distance from the cylinder but displays opposite behavior nearby the surface of cylinder. The existence of heat generation and absorption for both mass dependent and time dependent parameters increases the temperature of the fluid.

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Approximate Analytical Analysis of Unsteady MHD Mixed Flow of Non-Newtonian Hybrid Nanofluid over a Stretching Surface

Fluids ◽

10.3390/fluids6040138 ◽

2021 ◽

Vol 6 (4) ◽

pp. 138

Author(s):

Ali Rehman ◽

Zabidin Salleh

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Base Fluid ◽

Research Work ◽

Hybrid Nanofluid ◽

Stretching Surface ◽

Optimal Homotopy Analysis Method ◽

Analytical Analysis ◽

Transfer Ratio ◽

The Impact

This paper analyses the two-dimensional unsteady and incompressible flow of a non-Newtonian hybrid nanofluid over a stretching surface. The nanofluid formulated in the present study is TiO2 + Ag + blood, and TiO2 + blood, where in this combination TiO2 + blood is the base fluid and TiO2 + Ag + blood represents the hybrid nanofluid. The aim of the present research work is to improve the heat transfer ratio because the heat transfer ratio of the hybrid nanofluid is higher than that of the base fluid. The novelty of the recent work is the approximate analytical analysis of the magnetohydrodynamics mixed non-Newtonian hybrid nanofluid over a stretching surface. This type of combination, where TiO2+blood is the base fluid and TiO2 + Ag + blood is the hybrid nanofluid, is studied for the first time in the literature. The fundamental partial differential equations are transformed to a set of nonlinear ordinary differential equations with the guide of some appropriate similarity transformations. The analytical approximate method, namely the optimal homotopy analysis method (OHAM), is used for the approximate analytical solution. The convergence of the OHAM for particular problems is also discussed. The impact of the magnetic parameter, dynamic viscosity parameter, stretching surface parameter and Prandtl number is interpreted through graphs. The skin friction coefficient and Nusselt number are explained in table form. The present work is found to be in very good agreement with those published earlier.

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Hybrid nanofluid flow over a stretched cylinder with the impact of homogeneous–heterogeneous reactions and Cattaneo–Christov heat flux: Series solution and numerical simulation

Heat Transfer ◽

10.1002/htj.22052 ◽

2021 ◽

Author(s):

Anthonysamy John Christopher ◽

Nanjundan Magesh ◽

Ramanahalli Jayadevamurthy Punith Gowda ◽

Rangaswamy Naveen Kumar ◽

Ravikumar Shashikala Varun Kumar

Keyword(s):

Numerical Simulation ◽

Heat Flux ◽

Series Solution ◽

Heterogeneous Reactions ◽

Hybrid Nanofluid ◽

Nanofluid Flow ◽

The Impact

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Numerical Simulation of Heat Mass Transfer Effects on MHD Flow of Williamson Nanofluid by a Stretching Surface with Thermal Conductivity and Variable Thickness

Coatings ◽

10.3390/coatings11060684 ◽

2021 ◽

Vol 11 (6) ◽

pp. 684

Author(s):

Saeed Islam ◽

Haroon Ur Rasheed ◽

Kottakkaran Sooppy Nisar ◽

Nawal A. Alshehri ◽

Mohammed Zakarya

Keyword(s):

Thermal Conductivity ◽

Boundary Layer ◽

Mass Transfer ◽

Differential Equations ◽

Variable Thickness ◽

Heat Mass Transfer ◽

Mathematical Formulation ◽

Stretching Surface ◽

Nanofluid Flow ◽

The Impact

The current analysis deals with radiative aspects of magnetohydrodynamic boundary layer flow with heat mass transfer features on electrically conductive Williamson nanofluid by a stretching surface. The impact of variable thickness and thermal conductivity characteristics in view of melting heat flow are examined. The mathematical formulation of Williamson nanofluid flow is based on boundary layer theory pioneered by Prandtl. The boundary layer nanofluid flow idea yields a constitutive flow laws of partial differential equations (PDEs) are made dimensionless and then reduce to ordinary nonlinear differential equations (ODEs) versus transformation technique. A built-in numerical algorithm bvp4c in Mathematica software is employed for nonlinear systems computation. Considerable features of dimensionless parameters are reviewed via graphical description. A comparison with another homotopic approach (HAM) as a limiting case and an excellent agreement perceived.

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Thermally and chemically reacted MHD Maxwell nanofluid flow past an inclined permeable stretching surface

Proceedings of the Institution of Mechanical Engineers Part E Journal of Process Mechanical Engineering ◽

10.1177/09544089211050715 ◽

2021 ◽

pp. 095440892110507

Author(s):

Amar B. Patil ◽

Vishwambhar S. Patil ◽

Pooja P. Humane ◽

Nalini S. Patil ◽

Govind R. Rajput

Keyword(s):

Differential Equations ◽

Energy Transport ◽

Stretching Surface ◽

Nanofluid Flow ◽

Linear Ordinary Differential Equations ◽

Maxwell Nanofluid ◽

Similarity Transformations ◽

Flow Past ◽

Chemically Reacting ◽

The Impact

The present work deals with chemically reacting unsteady magnetohydrodynamic Maxwell nanofluid flow past an inclined permeable stretching surface embedded in a porous medium with thermal radiation. The formulated governing partial differential equations conveying the flow model of Maxwell with Buongiorno modeled nanofluid is transformed into the system of highly non-linear ordinary differential equations via suitable similarity transformations; those equations are transmuted into an initial value problem and then solved numerically by a shooting approach with Runge–-Kutta fourth-order schema. To obtain the physical insight of the flow situation, the influence of associated parameters on the velocity, temperature, and concentration profiles is sketched graphically with the aid of MATLAB software. Furthermore, engineering quantities of interest are interpreted graphically. The computed numerical results are compared to estimate the validity of the achieved results; it has been found out that the computed results are highly accurate. The impact of the Maxwell parameter and inclination angle of the sheet on the velocity field is observed in decaying. Both thermal and solutal energy transport are progressive in nature as the Maxwell parameter and thermophoresis parameter grows, and a reverse trend is observed for Prandtl number.

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