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.

scholarly journals Magneto Hydrodynamic Incompressible Laminar Flow With Temperature Dependent Viscosity Between Two Parallel Porous Walls

2019 ◽  
Keyword(s):  
Temperature Distribution ◽  
Laminar Flow ◽  
Incompressible Fluid ◽  
Energy Equation ◽  
Constant Pressure ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Porous Walls ◽  
Effects Of Temperature ◽  
Dependent Viscosity

This paper studied Magneto hydrodynamics viscious, incompressible fluid bounded by the parallel non-conducting porous walls. The viscousity of the fluid is assumed to be temperature dependent. The fluid is subjected to a constant pressure gradient and an external uniformmagnetic field perpendicular to the walls. The two walls are kept different but constant temperature while the Joule and viscious dissipation are included in the energy equation. Graphs were presented to show the effects of temperature depentent viscosity on both the velocity and temperature distribution.

scholarly journals Non-Isothermal Creeping Flows in a Pipeline Network: Existence Results

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1300
Author(s):  
Evgenii S. Baranovskii ◽  
Vyacheslav V. Provotorov ◽  
Mikhail A. Artemov ◽  
Alexey P. Zhabko
Keyword(s):  
Nonlinear Boundary ◽  
Galerkin Approximation ◽  
Large Data ◽  
Temperature Dependent ◽  
Weak Formulation ◽  
Temperature Dependent Viscosity ◽  
Pipeline Network ◽  
Flux Boundary Conditions ◽  
Creeping Flows ◽  
Dependent Viscosity

This paper deals with a 3D mathematical model for the non-isothermal steady-state flow of an incompressible fluid with temperature-dependent viscosity in a pipeline network. Using the pressure and heat flux boundary conditions, as well as the conjugation conditions to satisfy the mass balance in interior junctions of the network, we propose the weak formulation of the nonlinear boundary value problem that arises in the framework of this model. The main result of our work is an existence theorem (in the class of weak solutions) for large data. The proof of this theorem is based on a combination of the Galerkin approximation scheme with one result from the field of topological degrees for odd mappings defined on symmetric domains.

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