scholarly journals MHD Analysis of Couple Stress Hybrid Nanofluid Free Stream over a Spinning Darcy-Forchheimer Porous Disc under the Effect of Thermal Radiation

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Muhammad Zubair ◽  
Muhammad Jawad ◽  
Ebenezer Bonyah ◽  
Rashid Jan
Keyword(s):  
Reynolds Number ◽  
Couple Stress ◽  
Free Stream ◽  
Industrial Applications ◽  
Physical Parameters ◽  
Hybrid Nanofluid ◽  
Rotating Disc ◽  
Inertial Parameter ◽  
Porosity Parameter ◽  
The Impact

This article develops the semianalytical analysis of couple stress hybrid nanofluid free stream past a rotating disc by applying the magnetic flux effects and radiation of thermal energy. The analysis of such kind of mixed convective flow is most important due to numerous industrial applications such as electronic devices, atomic reactors, central solar energy equipment, and heat transferring devices. The impact of variable permeability is also considered in the study. The permeability of the disc obeys the Darcy-Forchheimer model. The hybrid nanofluid is composed of water, titanium dioxide, and aluminum oxide. The set of governing equations in the PDE form are transformed to couple ODEs by applying similarity transformations. The ODE set are solved by applying the technique of HAM. The graphs of impacts of numerous physical parameters over momentum, energy, and concentration profiles are drawn in computer-based application Mathematica 11.0.1. In the sundry physical parameters, the porosity parameter, Reynolds number, inertial parameter, Prandtl number, Schmidt number, couple stress, and quotient of rotational momentum to elongating rate are included. During the analysis, it is found that the momentum profile of the couple stress hybrid nanofluid enhances with local inertial parameter, couple stress parameter, porosity parameter, and Reynolds number but declines for the growth in Hartmann number. Heat transfer rate enhances for radiation parameter but decreases in variable for temperature, thermal stratification parameter, thermophoresis parameter, and Brownian parameter.

Numerical simulation of nonlinear thermal radiation on the 3D flow of a couple stress Casson nanofluid due to a stretching sheet

2020 ◽  
pp. 1-28
Author(s):  
P. V. Satya Narayana ◽  
Tarakaramu Nainaru ◽  
G. Sarojamma ◽  
Isaac Lare Animasaun
Keyword(s):  
Heat Transfer ◽  
Couple Stress ◽  
Three Dimensional ◽  
Casson Fluid ◽  
Industrial Applications ◽  
Physical Parameters ◽  
Nonlinear Thermal Radiation ◽  
Scaling Analysis ◽  
Nonlinear Odes ◽  
Limiting Case

Abstract Little is known on the three-dimensional flow of couple stress Casson fluid conveying nanoparticles when the significance of Lorentz force, chaotic gesture of those minute particles and thermophoresis are significant. The intent of this investigation is to focus on the flow of such fluid along a horizontal surface due to dual stretching and internal heating. The dimensional nonlinear equations are reduced into a system of coupled nonlinear ODEs employing scaling analysis and later they are solved numerically. The results are discussed graphically for various emerged physical parameters through different plots. The results in the absence of stretching ratio factor indicate that the heat absorption parameter and Prandtl number accelerate the heat transfer rate. The temperature of the non- Newtonian couple stress fluid is found to be bigger than that of viscous case. It may be suggested that Casson couple stress nanofluid can be substituted for the corresponding viscous fluid in industrial applications for greater heat transfer. The outcomes are closely matched with the studies available in the literature as a limiting case.

Pulsatile Blood Flow Through a Constricted Porous Artery

2020 ◽  
Vol 17 (2) ◽  
pp. 743-749
Author(s):  
Salah Uddin ◽  
Obaid Ullah Mehmood ◽  
Mahathir Mohamad ◽  
Mahmod Abd Hakim Mohmad ◽  
D. F. Jamil ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Blood Flow ◽  
Flow Velocity ◽  
Nonlinear Differential Equations ◽  
Fluid Velocity ◽  
Volumetric Flow Rate ◽  
Physical Parameters ◽  
Porosity Parameter ◽  
Arterial Blood ◽  
Flow Through

In this paper a speculative study of an incompressible Newtonian blood flow through a constricted porous channel and pulsatile nature is inspected. Porosity parameter λ is incorporated in the momentum equation. Governing nonlinear differential equations are numerically evaluated by employing the perturbation method technique for a very small perturbation parameter ε 1 such that ε ≠ 0 and with conformable boundary conditions. Numerical results of the flow velocity profile and volumetric flow rate have been derived numerically and detailed graphical analysis for different physical parameters porosity, Reynolds number and stenosis has been presented. It is found that arterial blood velocity is dependent upon all of these factors and that the relationship of fluid velocity and flow is more complex and nonlinear than heretofore generally believe. Furthermore the flow velocity enhanced with Reynolds number, porosity parameter and at maximum position of the stenosis/constriction.

An experimental investigation of turbulent spots and breakdown to turbulence

1960 ◽  
Vol 9 (2) ◽  
pp. 235-246 ◽  
Author(s):  
J. W. Elder
Keyword(s):  
Boundary Layer ◽  
Experimental Investigation ◽  
Reynolds Number ◽  
Hydrodynamic Stability ◽  
Free Stream ◽  
Stream Velocity ◽  
Turbulent Spot ◽  
Turbulent Spots ◽  
The Impact ◽  
Critical Intensity

The theory of hydrodynamic stability and the impact on it of recent work with turbulent spots is discussed. Emmons's (1951) assumptions about the growth and interaction of turbulent spots are found experimentally to be substantially correct. In particular it is shown that the region of turbulent flow on a flat plate is simply the sum of the areas that would be obtained if all spots grew independently.An investigation of the conditions required for breakdown to turbulence near a wall, that is, to initiate a turbulent spot, suggests that regardless of how disturbances are generated in a laminar boundary layer and independent of both the Reynolds number and the spatial extent of the disturbances, breakdown to turbulence occurs by the initiation of a turbulent spot at all points at which the velocity fluctuation exceeds a critical intensity. Over most of the layer this intensity is about 0·2 times the free-stream velocity. The Reynolds number is important merely in respect of the growth of disturbances prior to breakdown.

scholarly journals Numerical modeling on hybrid nanofluid (Fe3O4+MWCNT/H2O) migration considering MHD effect over a porous cylinder

PLoS ONE ◽  
2021 ◽  
Vol 16 (7) ◽  
pp. e0251744
Author(s):  
Zahir Shah ◽  
Anwar Saeed ◽  
Imran Khan ◽  
Mahmoud M. Selim ◽  
Ikramullah ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Nusselt Number ◽  
Physical Parameters ◽  
Hybrid Nanofluid ◽  
Radiation Parameter ◽  
Porous Cylinder ◽  
Buoyancy Forces ◽  
Lorentz Forces ◽  
Medium Porosity ◽  
The Impact

The free convective hybrid nanofluid (Fe3O4+MWCNT/H2O) magnetized non-Darcy flow over a porous cylinder is examined by considering the effects constant heat source and uniform ambient magnetic field. The developed coupled PDEs (partial differential equations) are numerically solved using the innovative computational technique of control volume finite element method (CVFEM). The impact of increasing strength of medium porousness and Lorentz forces on the hybrid nanofluid flow are presented through contour plots. The variation of the average Nusselt number (Nuave) with the growing medium porosity, buoyancy forces, radiation parameter, and the magnetic field strength is presented through 3-D plots. It is concluded that the enhancing medium porosity, buoyancy forces and radiation parameter augmented the free convective thermal energy flow. The rising magnetic field rises the temperature of the inner wall more drastically at a smaller Darcy number. An analytical expression for Nusselt number (Nuave) is obtained which shows its functional dependence on the pertinent physical parameters. The augmenting Lorentz forces due to the higher estimations of Hartmann retard the hybrid nanoliquid flow and hence enhance the conduction.

scholarly journals Wall Properties and Slip Consequences on Peristaltic Transport of a Casson Liquid in a Flexible Channel with Heat Transfer

2018 ◽  
Vol 3 (1) ◽  
pp. 277-290 ◽  
Author(s):  
P. Devaki ◽  
S. Sreenadh ◽  
K. Vajravelu ◽  
K. V. Prasad ◽  
Hanumesh Vaidya
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Wave Propagation ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Viscous Damping ◽  
Damping Force ◽  
Long Wavelength ◽  
Wall Properties ◽  
The Impact

AbstractIn this paper, the peristaltic wave propagation of a Non-Newtonian Casson liquid in a non-uniform (flexible)channel with wall properties and heat transfer is analyzed. Long wavelength and low Reynolds number approximations are considered. Analytical solution for velocity, stream function and temperature in terms of various physical parameters is obtained. The impact of yield stress, elasticity, slip and non-uniformity parameters on the peristaltic flow of Casson liquidare observed through graphs and discussed. The important outcome is that an increase in rigidity, stiffness and viscous damping force of the wall results in the enhancement of the size and number of bolus formed in the flow pattern.

Asymptotic Suction/Injection Flow Induced by a Uniform MHD Free Stream Couple Stress Fluid Over a Flat Plate

2021 ◽  
Author(s):  
Mustafa Türkyilmazoglu
Keyword(s):  
Layer Thickness ◽  
Couple Stress ◽  
Free Stream ◽  
Couple Stress Fluid ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Injection Flow ◽  
Layer Analysis ◽  
Thermal Layer ◽  
Asymptotic Suction

Abstract A theoretical study on the asymptotic suction/injection magnetohydrodynamic flow as a result of a uniform free stream Couple stress fluid flowing over a flat surface is undertaken in the current study. It is targeted to obtain exact flow and temperature solutions representing the permeable Couple stress fluid flow. Analytical expressions are extracted to derive interesting engineering tools such as momentum layer thickness, thermal layer thickness, wall shear stress and heat transfer rate. The physical parameters leading to the existence of wall suction/injection solutions are determined with their thresholds. Momentum and thermal layer analysis from the present results clearly reveal how they are influenced by the presence of electrically conducting Couple stress fluid. Further flow studies of similar kind will certainly benefit from the presented formulae.

Coupled Impression of Radiative Thermal Flux and Lorentz Force on the Water Carrying Composite Nanoliquid Streaming Past an Elastic Sheet

2021 ◽  
pp. 1-26
Author(s):  
Harish Babu D ◽  
Venkateswarlu B ◽  
Sarojamma G ◽  
Satya Narayana P.V.
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Thermal Radiation ◽  
Thermal Flux ◽  
Industrial Applications ◽  
Hybrid Nanofluid ◽  
Inclined Magnetic Field ◽  
Flow Equations ◽  
Hybrid Nanofluids ◽  
The Impact

Abstract Significance of the study: Hybrid nanofluids attract the attention of many current researchers due to the enhanced heat transport rate in many engineering and industrial applications. The influence of an inclined magnetic field over an exponentially stretched sheet in the presence of thermal radiation cannot be ignored and the literature available in this domain is scanty. The novelty of this communication is to explore the impact of inclined magnetic field and thermal radiative heat on the hybrid nanofluid consisting of and nanoparticles in the base fluid, water. Aim of the study: A mathematical model for hybrid nanofluid is proposed to study the influence of oblique magnetic field and thermal radiation on an exponentially elongated sheet. A comparision of the thermal characteristics of the hybrid nanofluid and the mono nanofluids is made. Research methodology: The governing flow equations are transformed into a system of ODEs with the assistance of similarity variables and are then computationally addressed using bvp4c.The graphs are displayed for velocity, heat measure and reduced frictional coefficients for selected flow parameters. Results: Hybrid nanofluid has 1-4 % growth in the rate of heat transfer when compared to mono nanofluid while it is 1-4.5% in comparison to viscous fluid for increasing radiation parameter. Conclusion: The outcomes of this work revealed that the heat transfer as a consequence of the dispersion of dual nanomaterials is more promising than the mono nanofluid. To accomplish very effective cooling/ heating in industrial and engineering applications, hybrid nanofluids can substitute mono nanofluids.

Influence of Viscous Effects on Impact Tubes

1953 ◽  
Vol 20 (2) ◽  
pp. 253-256
Author(s):  
C. W. Hurd ◽  
K. P. Chesky ◽  
A. H. Shapiro
Keyword(s):  
Reynolds Number ◽  
Free Stream ◽  
Pressure Coefficient ◽  
Pressure Rise ◽  
Experimental Investigations ◽  
Stream Velocity ◽  
Fluid Density ◽  
Viscous Effects ◽  
Point Pressure ◽  
The Impact

Abstract Experiments were conducted to determine the effect of viscosity on the pressure rise recorded by a blunt-nosed impact tube in incompressible flow. The results are presented in terms of the pressure coefficient (Cp ≡ 2Δp/ρV∞2) as a function of Reynolds number (Rey ≡ V∞α/ν), where Δp is the excess of stagnation-point pressure over free-stream static pressure, V∞ is the free-stream velocity, α is the radius of the impact tube, ρ is the fluid density, and ν is the kinematic viscosity of the fluid. Above Reynolds numbers of 1000, there is no effect of viscosity, and Cp is equal to unity. Between Rey ≌ 50 and Rey ≌ 1000, Cp is slightly less than unity, but has a minimum value of 0.99. For values of Rey less than 50, Cp is always greater than unity. When the Reynolds number is below unity, the pressure rise is independent of the fluid density, and the data may be represented approximately by the formula Cp ≌ 5.6/Rey. The results are compared with the experimental investigations of Barker and of Homann, and with the theoretical studies of Stokes and of Homann.

scholarly journals Irreversibility Analysis of Hybrid Nanofluid Flow over a Thin Needle with Effects of Energy Dissipation

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 663 ◽  
Author(s):  
Muhammad Idrees Afridi ◽  
I. Tlili ◽  
Marjan Goodarzi ◽  
M. Osman ◽  
Najeeb Alam Khan
Keyword(s):  
Entropy Generation ◽  
Numerical Solutions ◽  
Free Stream ◽  
Thermal Dissipation ◽  
Heat Transfer Analysis ◽  
Stream Velocity ◽  
Physical Parameters ◽  
Hybrid Nanofluid ◽  
Nanofluid Flow ◽  
Flow And Heat Transfer

The flow and heat transfer analysis in the conventional nanofluid A l 2 O 3 − H 2 O and hybrid nanofluid C u − A l 2 O 3 − H 2 O was carried out in the present study. The present work also focused on the comparative analysis of entropy generation in conventional and hybrid nanofluid flow. The flows of both types of nanofluid were assumed to be over a thin needle in the presence of thermal dissipation. The temperature at the surface of the thin needle and the fluid in the free stream region were supposed to be constant. Modified Maxwell Garnet (MMG) and the Brinkman model were utilized for effective thermal conductivity and dynamic viscosity. The numerical solutions of the self-similar equations were obtained by using the Runge-Kutta Fehlberg scheme (RKFS). The Matlab in-built solver bvp4c was also used to solve the nonlinear dimensionless system of differential equations. The present numerical results were compared to the existing limiting outcomes in the literature and were found to be in excellent agreement. The analysis demonstrated that the rate of entropy generation reduced with the decreasing velocity of the thin needle as compared to the free stream velocity. The hybrid nanofluid flow with less velocity was compared to the regular nanofluid under the same circumstances. Furthermore, the enhancement in the temperature profile of the hybrid nanofluid was high as compared to the regular nanofluid. The influences of relevant physical parameters on flow, temperature distribution, and entropy generation are depicted graphically and discussed herein.

scholarly journals Gravity-driven hydromagnetic flow of couple stress hybrid nanofluid with homogenous-heterogeneous reactions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Muhammad Waseem ◽  
Taza Gul ◽  
Imran Khan ◽  
Arshad Khan ◽  
Anwar Saeed ◽  
...  
Keyword(s):  
Couple Stress ◽  
Heterogeneous Reaction ◽  
Thermal Characteristics ◽  
Heterogeneous Reactions ◽  
Hybrid Nanofluid ◽  
Heated Plate ◽  
Hydromagnetic Flow ◽  
Gravity Driven ◽  
Autocatalytic Kinetics ◽  
The Impact

AbstractThis investigation describes the hydromagnetic flow of gravity-driven couple stress hybrid nanofluid past a heated plate. The carbon nanotubes (CNTs) are used to characterize the hybrid nanofluid. The heated plate is placed vertically with an application of homogenous-heterogeneous reactions to the assumed flow system. The homogeneous reaction governs by isothermal cubic autocatalytic kinetics while the heterogeneous reaction governs by the first order kinetics. For current study the couple stress hybrid nanofluid is presumed to be conducted electrically with impact of non-uniform magnetic effects. An appropriate set of dimensionless quantities has employed to governing equations and then has solved by homotopy analysis method. The influence of emerging parameters encountered in this work has discussed in detail with the help of graphs. In this study it has examined that, flow of fluid reduces with upsurge in magnetic parameter and volumetric concentrations, whereas thermal and concentration characteristics augment with increase in volumetric concentrations. Moreover, growth in Prandtl number leads to a reduction in thermal characteristics and growth in Schmidt number result a reduction in concentration profile. The impact of various emerging parameters has also studied numerically upon physical quantities. It has established that, with augmentation in values of buoyancy parameter there is a growth in the values of skin friction. A comparison has also carried out between current and established results with a fine agreement in both results.

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