Numerical study of non-isothermal analysis of exiting sheet thickness in the calendering of micropolar-Casson fluid

2021 ◽  
pp. 875608792110250
Author(s):  
Zaheer Abbas ◽  
Sabeeh Khaliq
Keyword(s):  
Temperature Distribution ◽  
Pressure Gradient ◽  
Power Function ◽  
Numerical Study ◽  
Sheet Thickness ◽  
Casson Fluid ◽  
Integration Technique ◽  
Finite Difference Approximations ◽  
Isothermal Analysis ◽  
Coupling Number

This theoretical analysis reports on the non-isothermal calendering process of micropolar-Casson fluid and studies the viscoplastic and microrotation effects by utilizing the lubrication approximation (LAT). Exact dimensionless velocity and pressure gradient solutions are achieved. Then a numerical integration technique determined other mechanical quantities. Implementing the finite difference approximations resolved the energy expression. Graphs show how material parameters influence the pressure, pressure gradient, leave-off distance, temperature distribution, force, and power function. Temperature distribution increases with increased coupling number N and decreased Casson parameter [Formula: see text]. Force and power function increase with increased coupling number and decreased Casson parameter. Both Casson and coupling number control the pressure distribution and exiting sheet thickness.

Calendering of non-isothermal Rabinowitsch fluid

2018 ◽  
Vol 38 (1) ◽  
pp. 83-92 ◽  
Author(s):  
Muhammad Sajid ◽  
Hira Siddique ◽  
Nasir Ali ◽  
Muhammad Asif Javed
Keyword(s):  
Temperature Distribution ◽  
Pressure Gradient ◽  
Energy Equation ◽  
Fluid Model ◽  
Sheet Thickness ◽  
Lubrication Approximation ◽  
Flow Equations ◽  
Hybrid Numerical Method ◽  
Isothermal Analysis ◽  
Roll Separating Force

Abstract: A non-isothermal analysis of calendering by using the Rabinowitsch fluid model is presented in this article. The flow equations are simplified by utilizing the lubrication approximation theory. The exact expressions of velocity and pressure gradient are obtained. The pressure distribution and engineering quantities are computed numerically by employing the Runge-Kutta algorithm. The temperature distribution is obtained by solving the energy equation numerically using the hybrid numerical method. The influence of the involved parameters on the velocity profile, pressure, pressure gradient and mechanical quantities such as roll-separating force, power function and exiting sheet thickness are shown graphically. The temperature distribution at various axial points is also shown through graphs.

Numerical analysis of the calendering process by using Giesekus fluid model

2019 ◽  
Vol 36 (2) ◽  
pp. 167-190 ◽  
Author(s):  
Muhammad Asif Javed ◽  
Nasir Ali ◽  
Sabeen Arshad
Keyword(s):  
Pressure Gradient ◽  
Power Function ◽  
Numerical Study ◽  
Fluid Model ◽  
Sheet Thickness ◽  
Deborah Number ◽  
Flow Equations ◽  
Giesekus Fluid ◽  
Engineering Parameters ◽  
Roll Separating Force

A numerical study of the calendering process is presented. The material to be calendered is modeled by using Giesekus constitutive equation. The flow equations are first presented in dimensionless forms and then simplified by incorporating the lubrication approximation theory. The resulting equations are analytically solved for the stream function. The pressure gradient, pressure, and other engineering parameters related to the calendering process, such as roll-separating force, power function, and entering sheet thickness, are numerically calculated by using Runge–Kutta algorithm. The influence of the Giesekus parameter and the Deborah number on the velocity profile, pressure gradient, pressure, power function, roll-separating force, and exiting sheet thickness are discussed in detail with the help of various graphs. The present analysis indicates that the pressure in the nip region decreases with increasing Giesekus parameter and Deborah number. The power function and the roll-separating force exhibit decreasing trends with increasing Deborah number. The exiting sheet thickness decreases up to a certain entering sheet thickness, as compared to the Newtonian case. Beyond this entering sheet thickness, the exiting sheet thickness increases with increasing entering sheet thickness.

Roll-over-web coating analysis of micropolar-Casson fluid: a theoretical investigation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Zaheer Abbas ◽  
Sabeeh Khaliq
Keyword(s):  
Pressure Gradient ◽  
Numerical Technique ◽  
Sheet Thickness ◽  
Pressure Profile ◽  
Power Input ◽  
Casson Fluid ◽  
Closed Form Solutions ◽  
Opposite Behavior ◽  
Roll Separating Force ◽  
Coupling Number

Abstract The theoretical model of micropolar-Casson fluid is studied in roll-coating over a moving substrate based on the lubrication theory. Closed-form solutions for the velocity, pressure gradient, and microrotation are attained, while a numerical technique employed to compute interesting engineering variables such as pressure, roll-separating force, separating point, and power input. The influence of involved parameters on the physical and engineering quantities are displayed via graphs and table. The coupling number (N) and viscoplastic parameter (β) provide the controlling mechanism for the exit sheet thickness, separating force, and power input. Also, the pressure gradient and pressure profile in the nip region enhances for large values of coupling number (N) whereas the viscoplastic parameter (β) gives the opposite behavior.

Collapse Prediction During Hollow Optical Fiber Fabrication

2005 ◽  
Author(s):  
Srinath S. Chakravarthy ◽  
Wilson K. S. Chiu
Keyword(s):  
Temperature Distribution ◽  
Stokes Equations ◽  
Numerical Study ◽  
Surface Force ◽  
Force Balance ◽  
Navier Stokes ◽  
Feed Speed ◽  
Navier Stokes Equations ◽  
Isothermal Analysis ◽  
Crystal Fibers

A numerical study of the drawing of hollow capillary rods over a range of draw speeds and feed speeds, with application to the drawing of photonic crystal fibers is presented. In this study the axisymmetric Navier-Stokes equations are solved numerically using the finite element method. In the numerical study inertia, gravity, surface tension and internal pressurization of the capillary is included and the effect of each of these parameters on the neck down profile is presented. The free surface which defines the neck down profile, is not assumed but is determined using a surface force balance. The results of isothermal and non-isothermal analysis results are compared with experimental, numerical and analytical results from the literature for validation. In the non-isothermal analysis, arbitrary temperature profiles are assumed to represent the temperature distribution in the neck down region and the effect of different temperature distributions on the neck down profile is discussed. The effect of the draw parameters (draw speed and draw down ratio) and the temperature distribution on the collapse of the capillaries is examined. A qualitative discussion on the onset of collapse of the capillary is presented and the effect of the draw parameters on the draw tension is discussed. For isothermal cases, the feed speed dominated the determination of collapse, while the draw speed had a relatively small effect on the collapse. It was found that collapse can be avoided with higher feed speeds and lower temperatures, while the draw tension can be minimized at lower feed speeds and higher temperatures.

scholarly journals Numerical study on temperature distribution of tunnel structure in fires

2021 ◽  
Vol 25 ◽  
pp. 100874
Author(s):  
Xin Xu ◽  
Guoqing Zhu ◽  
Xiaojin Zhang ◽  
Guoqiang Chai ◽  
Tianwei Chu
Keyword(s):  
Temperature Distribution ◽  
Numerical Study ◽  
Tunnel Structure

scholarly journals Steady and unsteady flow of non-newtonian fluid in curved pipe with triangular

2006 ◽  
Vol 3 (3) ◽  
pp. 470-480
Author(s):  
Baghdad Science Journal
Keyword(s):  
Unsteady Flow ◽  
Pressure Gradient ◽  
Secondary Flow ◽  
Cross Section ◽  
Numerical Study ◽  
Equations Of Motion ◽  
Curved Pipe ◽  
First Case ◽  
Stable Flow ◽  
Flow Cross

This paper deals with numerical study of the flow of stable and fluid Allamstqr Aniotina in an area surrounded by a right-angled triangle has touched particularly valuable secondary flow cross section resulting from the pressure gradient In the first case was analyzed stable flow where he found that the equations of motion that describe the movement of the fluid

Implementation of DTM as a numerical study for the Casson fluid flow past an exponentially variable stretching sheet with thermal radiation

2021 ◽  
pp. 2150111
Author(s):  
Khadijah M. Abualnaja
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Numerical Method ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Transformation Method ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Special Cases

This paper introduces a theoretical and numerical study for the problem of Casson fluid flow and heat transfer over an exponentially variable stretching sheet. Our contribution in this work can be observed in the presence of thermal radiation and the assumption of dependence of the fluid thermal conductivity on the heat. This physical problem is governed by a system of ordinary differential equations (ODEs), which is solved numerically by using the differential transformation method (DTM). This numerical method enables us to plot figures of the velocity and temperature distribution through the boundary layer region for different physical parameters. Apart from numerical solutions with the DTM, solutions to our proposed problem are also connected with studying the skin-friction coefficient. Estimates for the local Nusselt number are studied as well. The comparison of our numerical method with previously published results on similar special cases shows excellent agreement.

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