Mathematical modeling of Johnson-Segalman fluid in blade coating process

2021 ◽  
pp. 875608792098355
Author(s):  
Marya Kanwal ◽  
Xinhua Wang ◽  
Hasan Shahzad ◽  
Muhammad Sajid ◽  
Cheng Yiqi
Keyword(s):  
Work Load ◽  
Weissenberg Number ◽  
Coating Process ◽  
Lubrication Approximation ◽  
Shooting Technique ◽  
Flow Equations ◽  
Reduced Equations ◽  
Velocity Pressure ◽  
Blade Coating ◽  
Parameter Influence

This article deals with the blade coating process for Johnson-Segalman (JS) fluid using plane coater. Flow equations are simplified with the Lubrication approximation theory (LAT). The equations are normalized using suitable scales. Reduced equations are solved numerically using the shooting technique. Also, for small Weissenberg numbers, a perturbation solution is obtained. How Weissenberg number and slip parameter influence the pressure gradient, velocity, pressure, load, and thickness are expressed graphically and via table. In the present work, load on the blade is crucial as it controls the thickness quality. One observes that an increased Weissenberg number decreases load, while the coating thickness increases when compared to the viscous case.

Blade coating analysis of viscous nanofluid having Cu–water nanoparticles using flexible blade coater

2020 ◽  
Vol 36 (4) ◽  
pp. 348-367 ◽  
Author(s):  
Marya Kanwal ◽  
Xinhua Wang ◽  
Hasan Shahzad ◽  
Yingchun Chen ◽  
Hui Chai
Keyword(s):  
Pressure Gradient ◽  
Shooting Method ◽  
Volume Fraction ◽  
Volumetric Flow Rate ◽  
Lubrication Approximation ◽  
Nanoparticle Volume Fraction ◽  
Porous Substrate ◽  
Flow Equations ◽  
The Impact ◽  
Blade Coating

This article presents the blade coating analysis of viscous nanofluid passing over a porous substrate using a flexible blade coater. Water-based copper nanoparticles are considered to discuss the blade coating process. The lubrication approximation theory is applied to develop the flow equations. The analytical solution is obtained for velocity, volumetric flow rate, and pressure gradient, while shooting method is applied to obtain the pressure, thickness, and load. Different models for dynamic viscosity have been applied to observe the impact of related parameters on pressure, pressure gradient, and velocity. These results are presented graphically. Interesting engineering quantities such as load, deflection, and thickness are computed numerically and are shown in the tabulated form. It is found that nanoparticle volume fraction increases the pressure gradient, pressure and has minor effects on velocity. For model 1, an increase in the volume fraction reduces the coating thickness, load, and deflection, while model 2 has opposite effects on the mentioned quantities. Also, model 2 has a greater impact on pressure and pressure gradient when compared to model 1.

scholarly journals Mathematical modelling for flexible blade coater with magnetohydrodynamic and slip effects in blade coating process

2019 ◽  
Vol 36 (1) ◽  
pp. 38-54 ◽  
Author(s):  
X Wang ◽  
H Shahzad ◽  
Y Chen ◽  
M Kanwal ◽  
Z Ullah
Keyword(s):  
Magnetic Field ◽  
Numerical Solutions ◽  
Fluid Velocity ◽  
Volumetric Flow Rate ◽  
Maximum Pressure ◽  
Coating Process ◽  
Shooting Technique ◽  
Slip Effects ◽  
Thickness Parameter ◽  
Blade Coating

A new mathematical model for a flexible blade coater is proposed and analysed for slip and magnetohydrodynamic (MHD) effects in blade coating process. The slip is considered at the blade surface and magnetic field is imposed normal to the flow. To obtain the velocity profile, pressure, pressure gradient, volumetric flow rate and maximum pressure both exact and numerical solutions are utilized. In order to obtain the numerical solution shooting technique is applied. The interesting physical quantities like load and deflection are calculated and presented in graphical and tabulated form. The influence of the Hartman number the slip parameter and normalized coating thickness parameter on the flow and deflection are discussed graphically. In the presence of magnetic field and slip the fluid velocity and hence blade deflection can be controlled.

Non-isothermal blade coating analysis of viscous fluid with temperature-dependent viscosity using lubrication approximation theory

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sabeeh Khaliq ◽  
Zaheer Abbas
Keyword(s):  
Temperature Distribution ◽  
Viscous Fluid ◽  
Coating Thickness ◽  
Maximum Pressure ◽  
Coating Process ◽  
Lubrication Approximation ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Dependent Viscosity ◽  
Blade Coating

Abstract Blade coating process is studied in a nonisothermal analysis of viscous fluid with temperature-dependent viscosity by employing both plane and exponential coaters. The governing expressions are nondimensionalized and simplified under the assumption of lubrication approximation theory. Then, perturbative technique is used to find the solution for velocity, pressure, temperature distribution, and coating thickness. The influence of dimensionless parameter ε, Graetz number Gz, and normalized coating thickness γ on the velocity, maximum pressure, temperature distribution, and pressure gradient is portrayed through graphs, whereas load and coating thickness variations reported in a tabular manner. It is found that maximum pressure, coating thickness, and blade load decreases for temperature variations in viscosity, which leads to improved efficiency of blade coating process and life of the moving substrate.

A mathematical analysis for the blade coating process of Oldroyd 4-constant fluid

2019 ◽  
Vol 39 (9) ◽  
pp. 852-860 ◽  
Author(s):  
Hasan Shahzad ◽  
Xinhua Wang ◽  
Muhammad Mughees ◽  
Muhammad Sajid ◽  
Nasir Ali
Keyword(s):  
Pressure Gradient ◽  
Numerical Technique ◽  
Point Of View ◽  
Rheological Parameters ◽  
Coating Process ◽  
Dimensionless Form ◽  
Velocity Pressure ◽  
Linear Boundary Value Problem ◽  
Blade Coating

AbstractA mathematical study of an Oldroyd 4-constant fluid for a blade coating process is studied in this paper. The results for plane as well as exponential coaters are analyzed. Suitable dimensionless variables are used to convert the model governing equations into dimensionless form. Lubrication approximation theory is applied to simplify the dimensionless form of governing partial differential equations. The well-known numerical technique known as the shooting method is used to solve the non-linear boundary value problem. Influence of the involved rheological parameters on the blade coating process is analyzed. From an engineering point of view, load on the blade and pressure are important outcomes of the present study as they ensure the thickness and quality of coating and enhance the life of the substrate. The effects of material parameters on load, thickness, velocity, pressure and pressure gradient are discussed. Obtained results for velocity, pressure gradient and pressure distribution are shown graphically, whereas load and thickness are expressed in a tabulated form.

Impact of Lorentz Force on Unsteady Bio Convective Flow of Carreau Fluid across a Variable Thickness Sheet with Non-Fourier Heat Flux Model

2018 ◽  
Vol 387 ◽  
pp. 474-497 ◽  
Author(s):  
Kempannagari Anantha Kumar ◽  
Bujula Ramadevi ◽  
Vangala Sugunamma
Keyword(s):  
Variable Thickness ◽  
Heat Sink ◽  
Convective Flow ◽  
Fluid Velocity ◽  
Source Parameters ◽  
Weissenberg Number ◽  
Transfer Coefficients ◽  
Flow Equations ◽  
The Impact ◽  
Thickness Sheet

In this article, we examined the magnetohydrodynamic Cattaneo-Christov bio convective flow of Carreau liquid over a variable thickness sheet with irregular heat sink/source. The fluid motion is supposed to be time dependent and not turbulent. Firstly, proper transmutations are pondered to metamorphose the basic flow equations as ODE. The solution of these ODEs is procured by the sequential execution of R.K. and Shooting numerical treatments. The density of motile organisms, concentration, temperature and velocity distributions for dissimilar values of non-dimensional parameters are perused via graphs. Further, we analyzed the impact of same parameters on friction factor, local Nusselt number and the rate of mass transfer coefficients and presented in table. Results indicate that the distribution of the density of motile organisms is an increasing function of Peclet and Lewis numbers. Fluid velocity is proportional to the Weissenberg number. Also the space dependent heat sink/source parameters perform obligatory role in the mass and heat transport performance.

Development of Subambient Pressures and Cavitation in the Blade Coating Process

1997 ◽  
Vol 36 (7) ◽  
pp. 2834-2840 ◽  
Author(s):  
P. Isaksson ◽  
M. Rigdahl ◽  
D. W. Bousfield
Keyword(s):  
Coating Process ◽  
Blade Coating

The Study of the Blade Coating Process Lubricated with Powell-Eyring Fluid

2018 ◽  
Vol 7 (1) ◽  
pp. 52-61 ◽  
Author(s):  
M. A. Rana ◽  
A. M. Siddiqui ◽  
S. Bhatti ◽  
M. Zahid
Keyword(s):  
Coating Process ◽  
Blade Coating

Peristaltic transport of a MHD Carreau fluid in a tapered asymmetric channel with permeable walls

2015 ◽  
Vol 08 (04) ◽  
pp. 1550054 ◽  
Author(s):  
M. Kothandapani ◽  
J. Prakash ◽  
S. Srinivas
Keyword(s):  
Fluid Flow ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Carreau Fluid ◽  
Flow Equations ◽  
Axial Pressure Gradient ◽  
Significant Difference ◽  
Permeable Walls

The effect of permeable walls and magnetic field on the peristaltic flow of a Carreau fluid in a tapered asymmetric channel is studied. The tapered asymmetric channel is normally created due to the intra-uterine fluid flow induced by myometrial contractions and it was simulated by asymmetric peristaltic fluid flow in a two-dimensional infinite non-uniform channel. The analysis has been performed under long wavelength and low-Reynolds number assumptions to linearize the governing flow equations. A series solution in respect of a small Weissenberg number is obtained for the stream function, axial pressure gradient and shear stress. Time average of pressure rise and frictional force on the upper wall has also been computed using numerical integration. The results have been presented graphically for the various interested physical parameters. It is observed that for Carreau fluids the peristalsis works as a pump against a greater pressure rise compared with a Newtonian fluid, while there exists no significant difference in free pumping flux for Newtonian and Carreau fluids in the tapered asymmetric channel.

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