scholarly journals Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Hamid Khan ◽  
Mubashir Qayyum ◽  
Omar Khan ◽  
Murtaza Ali
Keyword(s):  
Porous Medium ◽  
Friction Coefficient ◽  
Velocity Profile ◽  
Skin Friction ◽  
Opposite Effect ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Squeezing Flow ◽  
Highly Nonlinear ◽  
Squeeze Number

An unsteady squeezing flow of Casson fluid having magnetohydrodynamic (MHD) effect and passing through porous medium channel is modeled and investigated. Similarity transformations are used to convert the partial differential equations (PDEs) of non-Newtonian fluid to a highly nonlinear fourth-order ordinary differential equation (ODE). The obtained boundary value problem is solved analytically by Homotopy Perturbation Method (HPM) and numerically by explicit Runge-Kutta method of order 4. For validity purpose, we compare the analytical and numerical results which show excellent agreement. Furthermore, comprehensive graphical analysis has been made to investigate the effects of various fluid parameters on the velocity profile. Analysis shows that positive and negative squeeze numberSqhave opposite effect on the velocity profile. It is also observed that Casson parameterβshows opposite effect on the velocity profile in case of positive and negative squeeze numberSq. MHD parameterMgand permeability constantMphave similar effects on the velocity profile in case of positive and negative squeeze numbers. It is also seen that, in case of positive squeeze number, similar velocity profiles have been obtained forβ,Mg, andMp. Besides this, analysis of skin friction coefficient has also been presented. It is observed that squeeze number, MHD parameter, and permeability parameter have direct relationship while Casson parameter has inverse relationship with skin friction coefficient.

Radiative Heat and Mass Transfer Analysis of Micropolar Nanofluid Flow of Casson Fluid Between Two Rotating Parallel Plates With Effects of Hall Current

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Zahir Shah ◽  
Saeed Islam ◽  
Hamza Ayaz ◽  
Saima Khan
Keyword(s):  
Friction Coefficient ◽  
Skin Friction ◽  
Hall Current ◽  
Nonlinear Differential Equations ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Parallel Plates ◽  
Nanofluid Flow ◽  
Micropolar Nanofluid ◽  
The Impact

The present research aims to examine the micropolar nanofluid flow of Casson fluid between two parallel plates in a rotating system with effects of thermal radiation. The influence of Hall current on the micropolar nanofluids have been taken into account. The fundamental leading equations are transformed to a system of nonlinear differential equations using appropriate similarity variables. An optimal and numerical tactic is used to get the solution of the problem. The convergence and comparison have been shown numerically. The impact of the Hall current, Brownian movement, and thermophoresis phenomena of Casson nanofluid have been mostly concentrated in this investigation. It is found that amassed Hall impact decreases the operative conductivity which intends to increase the velocity field. The temperature field enhances with larger values of Brownian motion thermophoresis effect. The impacts of the Skin friction coefficient, heat flux, and mass flux have been deliberate. The skin friction coefficient is observed to be larger for k=0, as compared to the case of k=0.5. Furthermore, for conception and visual demonstration, the embedded parameters have been deliberated graphically.

On the Skin Friction Coefficient for a Fully Rough Flat Plate

1983 ◽  
Vol 105 (3) ◽  
pp. 364-365 ◽  
Author(s):  
A. F. Mills ◽  
Xu Hang
Keyword(s):  
Experimental Data ◽  
Friction Coefficient ◽  
Velocity Profile ◽  
Skin Friction ◽  
Skin Friction Coefficient ◽  
Momentum Equation ◽  
Average Error ◽  
Friction Theory ◽  
Rough Plate ◽  
New Skin

A comparison of the Prandtl-Schlichting formula for skin friction of a fully rough plate with recently obtained experimental data shows an average error of 17.5 percent. It is suggested that the reason for this discrepancy is a failure to account for the wake component of the velocity profile. The integral momentum equation is used to derive a new skin friction theory which when compared to the same data gives an average error of 2.7 percent. A new skin friction formula is proposed which is valid over a wide parameter range.

scholarly journals The effect of variable magnetic field on heat transfer and flow analysis of unsteady squeezing nanofluid flow between parallel plates using Galerkin method

2017 ◽  
Vol 21 (5) ◽  
pp. 2057-2067 ◽  
Author(s):  
Mohammad Rahimi-Gorji ◽  
Oveis Pourmehran ◽  
Mofid Gorji-Bandpy ◽  
Davood Ganji
Keyword(s):  
Nusselt Number ◽  
Friction Coefficient ◽  
Galerkin Method ◽  
Skin Friction ◽  
Flow Analysis ◽  
Skin Friction Coefficient ◽  
Variable Magnetic Field ◽  
Parallel Plates ◽  
Nanofluid Flow ◽  
Squeeze Number

This paper presents a thermal and flow analysis of an unsteady squeezing nanofluid flow and heat transfer using nanofluid based on Brinkman model in presence of variable magnetic field. Galerkin method is used to solve the non-linear differential equations governing the problem. Squeezing flow between parallel plates is very applicable in the many industries and it means that one or both of the parallel plates have vacillation. The effects of active parameters such as the Hartman number, squeeze number, and heat source parameter are discussed. Results for temperature distribution and velocity profile, Nusselt number, and skin friction coefficient by Galerkin method are presented. As can be seen in results, the values of Nusselt number and skin friction coefficient for CuO is better than Al2O3. Also, according to figures, as nanofluid volume fraction increases, Nusselt number increases and skin friction coefficient decreases, increase in the Hartman number results in an increase in velocity and temperature profiles and an increase in squeeze number can be associated with the decrease in the velocity. <br><br><font color="red"><b> This article has been corrected. Link to the correction <u><a href="http://dx.doi.org/10.2298/TSCI171204246E">10.2298/TSCI171204246E</a><u></b></font>

scholarly journals Unsteady MHD Bionanofluid Flow in a Porous Medium with Thermal Radiation near a Stretching/Shrinking Sheet

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
M. Irfan ◽  
M. Asif Farooq ◽  
A. Mushtaq ◽  
Z. H. Shamsi
Keyword(s):  
Porous Medium ◽  
Friction Coefficient ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Internal Heat ◽  
Skin Friction Coefficient ◽  
Shrinking Sheet ◽  
Physical Parameters ◽  
The Impact

This research aims at providing the theoretical effects of the unsteady MHD stagnation point flow of heat and mass transfer across a stretching and shrinking surface in a porous medium including internal heat generation/absorption, thermal radiation, and chemical reaction. The fundamental principles of the similarity transformations are applied to the governing partial differential equations (PDEs) that lead to ordinary differential equations (ODEs). The transformed ODEs are numerically solved by the shooting algorithm implemented in MATLAB, and verification is done from MATLAB built-in solver bvp4c. The numerical data produced for the skin friction coefficient, the local Nusselt number, and the local Sherwood number are compared with the available result and found to be in a close agreement. The impact of involved physical parameters on velocity, temperature, concentration, and density of motile microorganisms profiles is scrutinized through graphs. It is analyzed that the skin friction coefficient enhances with increasing values of an unsteady parameter A , magnetic parameter M , and porosity parameter Kp . In addition, we observe that the density of a motile microorganisms profile enhances larger values of the bioconvection Lewis number Lb and Peclet number Pe and decreases with the increasing values of an unsteady parameter A .

scholarly journals Application of response surface methodology on the nanofluid flow over a rotating disk with autocatalytic chemical reaction and entropy generation optimization

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Tahir Mehmood ◽  
Muhammad Ramzan ◽  
Fares Howari ◽  
Seifedine Kadry ◽  
Yu-Ming Chu
Keyword(s):  
Response Surface Methodology ◽  
Friction Coefficient ◽  
Response Surface ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Rotating Disk ◽  
Skin Friction Coefficient ◽  
Engine Oil ◽  
Suction Parameter ◽  
Highly Nonlinear

AbstractThe role of nanofluids is of fundamental significance in the cooling process of small electronic devices including microchips and other associated gadgets in microfluidics. With such astounding applications of nanofluids in mind, it is intended to examine the flow of magnetohydrodynamic nanofluid comprising a novel combination of multi-walled carbon nanotubes and engine oil over a stretched rotating disk. The concentration equation is modified by considering the autocatalytic chemical reaction. The succor of the bvp4c numerical technique amalgamated with the response surface methodology is secured for the solution of a highly nonlinear system of equations. The sensitivity analysis is performed using a response surface methodology. The significant impacts of the prominent arising parameters versus involved fields are investigated through graphical illustrations. It is observed that the skin friction coefficient and local Nusselt number are positively sensitive to nanoparticle volume fraction while it is positively sensitive to the suction parameter. It is negatively sensitive to the Magnetic parameter. The skin friction coefficient is negatively sensitive to all input parameters.

scholarly journals MHD Flow of Nanofluid with Homogeneous-Heterogeneous Reactions in a Porous Medium under the Influence of Second-Order Velocity Slip

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 220 ◽  
Author(s):  
Fahd Almutairi ◽  
S.M. Khaled ◽  
Abdelhalim Ebaid
Keyword(s):  
Porous Medium ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Volume Fraction ◽  
Heterogeneous Reaction ◽  
Mhd Flow ◽  
Velocity Slip ◽  
Skin Friction Coefficient ◽  
Second Order ◽  
Heterogeneous Reactions

The influence of second-order velocity slip on the MHD flow of nanofluid in a porous medium under the effects of homogeneous-heterogeneous reactions has been analyzed. The governing flow equation is exactly solved and compared with those in the literature for the skin friction coefficient in the absence of the second slip, where great differences have been observed. In addition, the effects of the permanent parameters on the skin friction coefficient, the velocity, and the concentration have been discussed in the presence of the second slip. As an important result, the behavior of the skin friction coefficient at various values of the porosity and volume fraction is changed from increasing (in the absence of the second slip) to decreasing (in the presence of the second slip), which confirms the importance of the second slip in modeling the boundary layer flow of nanofluids. In addition, five kinds of nanofluids have been investigated for the velocity profiles and it is found that the Ag-water nanofluid is the lowest. For only the heterogeneous reaction, the concentration equation has been exactly solved, while the numerical solution is applied in the general case. Accordingly, a reduction in the concentration occurs with the strengthening of the heterogenous reaction and also with the increase in the Schmidt parameter. Moreover, the Ag-water nanofluid is of lower concentration than the Cu-water nanofluid. This is also true for the general case, when both of the homogenous and heterogenous reactions take place.

Shape effect of Cu, Al2O3 and TiO2 nanoparticles on stagnation point nanofluid flow in a microgravity environment

2021 ◽  
Vol 2 (2) ◽  
pp. 01-13
Author(s):  
M.H.A. Kamal ◽  
A. Ali ◽  
Y.J. Lim ◽  
N.A. Rawi ◽  
S. Shafie
Keyword(s):  
Nusselt Number ◽  
Friction Coefficient ◽  
Velocity Profile ◽  
Skin Friction ◽  
Stagnation Point ◽  
Skin Friction Coefficient ◽  
Microgravity Environment ◽  
Nanofluid Flow ◽  
Conservation Of Energy ◽  
Shaped Nanoparticles

The unsteady viscous nanofluid flow near a three-dimensional stagnation point was studied numerically under microgravity environment. g-Jitter is one of the effects occurs under microgravity environment that producing a fluctuating gravitational field. Three different types of nanoparticles were induced in the study that is copper (Cu), alumina (Al2O3), and titania (TiO2) which then produce a water-based typed of nanofluid. In addition, different shape of nanoparticle was applied on the study in analyzing the performance of each types of nanoparticle. The fluid system was then mathematically formulated into a system of partial differential equation based on physical law and principle such as conservation of mass, Newton’s second law and conservation of energy. The system of equation then undergoes semi-similar transformation technique in reducing the complexity of the problem into non dimensionless form. Keller box method was applied into the dimensionless system of equations in solving the problem numerically. The problem was analyzed in term of velocity and temperature profiles together with skin friction coefficient and Nusselt number. The results shown that temperature profile, skin friction coefficient and Nusselt number were increase while velocity profile decreased as nanoparticle volume fraction decreased. The results indicated that, the needle-shaped nanoparticles give the highest enhancement on the heat transfer of the nanofluid compared to sphere and disk-shaped nanoparticles with more than 14% significant different. In addition,  alumina hold the highest velocity profile while copper hold the lowest velocity profile.

scholarly journals Numerical Simulations of Magnetic Dipole over a Nonlinear Radiative Eyring–Powell Nanofluid considering Viscous and Ohmic Dissipation Effects

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
R. Sajjad ◽  
M. Mushtaq ◽  
S. Farid ◽  
K. Jabeen ◽  
R. M. A. Muntazir
Keyword(s):  
Nusselt Number ◽  
Fluid Flow ◽  
Friction Coefficient ◽  
Differential Equations ◽  
Skin Friction ◽  
Magnetic Dipole ◽  
Sherwood Number ◽  
Skin Friction Coefficient ◽  
Ohmic Dissipation ◽  
Highly Nonlinear

This research work interprets the influences of magnetic dipole over a radiative Eyring–Powell fluid flow past a stretching sheet while considering the impacts of viscous and ohmic dissipation that produce a quite illustrious effect due to the generated magnetic dipole. This whole analysis is characterized by the effects of steady, laminar, and incompressible flow. The highly nonlinear and coupled partial differential equations (PDEs) are remodeled into a system of nonlinear ordinary differential equations (ODEs) by utilizing reliable and nondimensional parameters leading to the momentum, thermal, and concentration equations, that are computationally solved using b v p 4 c on MATLAB, and “dsolve” command on MAPLE software, in the companionship of boundary conditions. The physical constraints such as viscous and ohmic dissipation and many other sundry parametric effects are sketched with their ultimate effects on fluid flow. For the sustenance of this research with the prior work and in collaboration with the below mentioned literature review, a comprehensive differentiation is given, which defines the sustainability of the current work. The Buongiorno nanoliquid model elaborates the thermophoresis and Brownian features that are deliberately scrutinized within the influence of activation energy. Also, the skin friction coefficient, Nusselt number, and Sherwood number are illustrated in tables. The skin friction coefficient decreases with a rise in the ferromagnetic interaction parameter as well as the Hartmann number, whereas the Nusselt number and Sherwood number show variation for varying parameters. It can be observed that Eyring–Powell fluid intensifies the rate of heat and mass transfer.

Impact of oblique magnetic viscous dissipative transport on chemically reactive micro-rotations submerged in porous medium

2018 ◽  
Vol 96 (12) ◽  
pp. 1349-1358
Author(s):  
Zaffar Mehmood ◽  
Z. Iqbal ◽  
E.N. Maraj ◽  
Ehtsham Azhar
Keyword(s):  
Porous Medium ◽  
Nusselt Number ◽  
Friction Coefficient ◽  
Thermal Convection ◽  
Magnetic Parameter ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Viscoplastic Fluid ◽  
Medium Porosity ◽  
Weak Concentration

The present communication aims to investigate the influence of inclined magnetic field and Joule heating phenomenon in the presence of chemical reaction on micro-rotation of particles suspended in a viscoplastic fluid submerged in a porous medium. Casson fluid is considered as a viscoplastic fluid. Governing physical problem modeling and formulation is performed in the Cartesian coordinate system. A system of partial differential equations is reduced to a system of ordinary differential equations by means of suitable transformation. Nonlinear coupled system is solved numerically with the help of a shooting algorithm. Numerical investigation is carried out for strong and weak concentrations at the boundary. Emerging parameters’ effects on fluid micro-rotation velocities and temperature distribution are displayed and analyzed through graphs for strong and weak concentrations. Further, numerical values of skin friction coefficient and Nusselt number are tabulated for pertinent parameters. From the present analysis it is concluded that fluid decelerates with an increase in Casson fluid parameter, medium porosity, magnetic parameter, and inclination angle in both cases of strong concentration as well as weak concentration while it accelerates with the increase in micropolar parameter and Eckert number. Micro-rotation velocity seems to accelerate at the vicinity of stretching surface for β, K, γ, M, and Γ while it decelerates with the increase in Ec. Temperature rises with the increase in Eckert number, Biot number, inclination angle, magnetic parameter, and thermal convection parameter for strong and weak concentration. Skin friction coefficient increases with an increase in micropolar parameter, magnetic parameter, and medium porosity whereas it decreases with an increase in Casson fluid and thermal convection parameters. Nusselt number magnitude rises with an increase in K, Pr, and Bi, while it lessens with an increase in M, Ec, and γ.

scholarly journals The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid Over a Vertical Plate Saturated in a Porous Medium

Fluids ◽  
2021 ◽  
Vol 6 (6) ◽  
pp. 202
Author(s):  
A. Mahdy ◽  
E. R. El-Zahar ◽  
A. M. Rashad ◽  
W. Saad ◽  
H. S. Al-Juaydi
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Nusselt Number ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Skin Friction Coefficient ◽  
Hybrid Nanofluid ◽  
Non Linear ◽  
The Magnetic Field ◽  
Linear Odes

In this study, we investigate the convective flow of a micropolar hybrid nanofluid through a vertical radiating permeable plate in a saturated porous medium. The impact of the presence or absence of the internal heat generation (IHG) in the medium is examined as well as the impacts of the magnetic field and thermal radiation. We apply similarity transformations to the non-dimensionalized equations and render them as a system of non-linear ODEs (Ordinary Differential Equations) subject to appropriate boundary conditions. This system of non-linear ODEs is solved by an adaptive mesh transformation Chebyshev differential quadrature method. The influence of the governing parameters on the temperature, microrotation and velocity is examined. The skin friction coefficient and the Nusselt number are tabulated. We determine that the skin friction coefficient and heat transport rate increase with the increment in the magnetic field. Moreover, the increment in the micropolarity and nanoparticle volume fraction enhances the skin friction coefficient and the Nusselt number. We also conclude that the IHG term improved the flow of the hybrid nanofluid. Finally, our results indicate that employing a hybrid nanofluid increases the heat transfer compared with that in pure water and a nanofluid.

Sign in / Sign up

Export Citation Format

Share Document