• Title/Summary/Keyword: sheet profile equation

Search Result 7, Processing Time 0.025 seconds

Simplified modeling of slide-fed curtain coating flow

  • Jung Hyun Wook;Lee Joo Sung;Hyun Jae Chun;Kim See Jo;Scriven L. E.
    • Korea-Australia Rheology Journal
    • /
    • v.16 no.4
    • /
    • pp.227-233
    • /
    • 2004
  • Simplified model of slide-fed curtain coating flow has been developed and tested in this study. It rests on the sheet profile equations for curtain thickness in curtain flow and its trajectory derived by the integral momentum balance approach of Higgins and Scriven (1979) and Kistler (1983). It also draws on the film profile equation of film thickness variation in flow down a slide. The equations have been solved in finite difference approximation by Newton iteration with continuation. The results show that how inertia (Rey­nolds number), surface tension (capillary number), inclination angle of the slide, and air pressure difference across the curtain affect sheet trajectory and thickness profile. It has been revealed that approximate models can be useful to easily analyze coating flow dynamics without complex computations, giving qualitative agreement with full theory and with experiment.

Numerical Study of Entropy Generation with Nonlinear Thermal Radiation on Magnetohydrodynamics non-Newtonian Nanofluid Through a Porous Shrinking Sheet

  • Bhatti, M.M.;Abbas, T.;Rashidi, M.M.
    • Journal of Magnetics
    • /
    • v.21 no.3
    • /
    • pp.468-475
    • /
    • 2016
  • In this article, entropy generation on MHD Williamson nanofluid over a porous shrinking sheet has been analyzed. Nonlinear thermal radiation and chemical reaction effects are also taken into account with the help of energy and concentration equation. The fluid is electrically conducting by an external applied magnetic field while the induced magnetic field is assumed to be negligible due to small magnetic Reynolds number. The governing equations are first converted into the dimensionless expression with the help of similarity transformation variables. The solution of the highly nonlinear coupled ordinary differential equation has been obtained with the combination of Successive linearization method (SLM) and Chebyshev spectral collocation method. Influence of all the emerging parameters on entropy profile, temperature profile and concentration profile are plotted and discussed. Nusselt number and Sherwood number are also computed and analyzed. It is observed that entropy profile increases for all the physical parameters. Moreover, it is found that when the fluid depicts non-Newtonian (Williamson fluid) behavior then it causes reduction in the velocity of fluid, however, non-Newtonian behavior enhances the temperature and nanoparticle concentration profile.

Plane Strain Analysis of Sheet Metal with Arbitrary Forming Conditions (임의의 성형조건을 갖는 박판의 평면변형율 해석)

  • Keum, Y.T.;Lee, S.Y.;Wagoner, R.H.
    • Transactions of Materials Processing
    • /
    • v.1 no.1
    • /
    • pp.95-103
    • /
    • 1992
  • The plane strain analysis for simulating the stretch/draw forming operation with an arbitrarily-shaped tool profile is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-normal, which compatibly describes arbitrary tool surfaces and FEM meshes without depending on the explicit spatial derivatives of tool surfaces. The linear line elements are used for depicting the formed sheet, based on membrane approximation. The FEM formulation is tested in the sections of automotive inner panel and two-side draw-in. Not only the excellent agreement between measured and computed strains is obtained in the stretched section, but also the numerical stability of formulation is verified in the draw-in section.

  • PDF

Driveability Analysis of U-type Sheet Pile using WEAP Program (WEAP 프로그램을 이용한 U형 널말뚝의 항타관입성 해석)

  • Kim Byoung-Il;Kim Jae-Kyu;Lee Seung-Hyun;Lee Jong-Ku
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.7 no.4
    • /
    • pp.671-678
    • /
    • 2006
  • Vibratory pile driving has an advantage of reduced noise pollutions compared to impact pile driving and it has been very widely used in the installation of sheet piles. However, very little has been known about the driveability characteristics of sheet pile under vibratory driving. So, the proper sheet piles and vibratory hammer for an given soil profile and depth are determined on a empirical basis. In this study. the driveability of U-type sheet piles are analytically estimated using the commercial WEAP(Wave Equation Analysis of Piles) program. The WEAP analysis shows that penetration rate of sheet pile decreases as N value increases. And if penetration length is not over 20 meters, the rate of penetration decreases as the sectional area of sheet pile increases.

  • PDF

Analysis of the Pressure Distribution for Press Shoe considering Partially Changed Curvature of Bearing Surface

  • Park, Sang-Shin;Park, Young-Ha;Lee, Young-Ze;Han, Man-Cheol
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 2002.10b
    • /
    • pp.123-124
    • /
    • 2002
  • A press shoe is an element of a machine for squeezing water from wood pulp in the field of manufacturing paper. This is used to compress the pulp enveloped by felt sheet with a large roller. The squeezing force is made by hydraulic pressure. The press shoe has a mechanism similar to a partial hydrostatic bearing. The pressure profile between press shoe and roller affects their squeezing ability, and partial peak pressure can tear the wet pulp. The curvature of the surface of press shoe varies to reduce the peak pressure and increase the mean pressure simultaneously. Therefore, the prediction of pressure distribution considering partially changed curvature of hydrostatic bearing is very important for designing the press shoe. In this study, the difference formulation of Reynolds' equation for partial hydrostatic bearing is by direct numerical method and a computer program to calculate the pressure distribution is developed. We investigate the effect of partially changed curvature of bearing surface on the pressure distribution. Other design parameter for hydrostatic bearing such as depth of pocket and relative velocity are also studied.

  • PDF

Analysis of the Pressure Distribution for Press Shoe considering Partially Changed Curvature of Bearing Surface

  • Park, Sang-Shin;Park, Young-Ha;Lee, Young-Ze;Han, Man-Cheol
    • KSTLE International Journal
    • /
    • v.3 no.2
    • /
    • pp.90-94
    • /
    • 2002
  • A press shoe is an element of a machine for squeezing water from wood pulp in the field of manufacturing paper. This is used to compress the pulp enveloped by felt sheet with a large roller. The squeezing farce is made by hydraulic pressure. The press shoe has a mechanism similar to a partial hydrostatic bearing. The pressure profile between press shoe and roller affects their squeezing ability, and partial peak pressure can tear the wet pulp. The curvature of the surface of press shoe varies to reduce the peak pressure and increase the mean pressure simultaneously, Therefore, the prediction of pressure distribution considering partially changed curvature of hydrostatic bearing is very important far designing the press shoe. In this study, the difference formulation of Reynolds equation far partial hydrostatic bearing is derived by direct numerical method and a computer program to calculate the pressure distribution is developed. We investigate the effect of partially changed curvature of bearing surface on the pressure distribution. Other design parameter far hydrostatic bearing such as depth of pocket and relative velocity are also studied.

Analysis of the Molten Metal Direct Rolling for Magnesium Considering Thermal Flow Phenomena (열 유동 현상을 고려한 마그네슘 용탕 직접 압연공정 해석)

  • Bae J.W.;Kang C.G.;Kang S.B.
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2005.10a
    • /
    • pp.786-789
    • /
    • 2005
  • The proper parameters in a twin roll strip casting are important to obtain the stabilization of the Mg sheet. What is examined in this paper is the quantitative relationships of the important control parameters such as the roll speed, height of pool region, outlet size of nozzle, solidification profile and the final point of solidification in a twin roll strip casting Unsteady conservation equations were used for transport phenomena in the pool region of a twin roll strip casting in order to predict a velocity, temperature distributions of fields and a solidification process of molten magnesium. The energy equation of cooling roll Is solved simultaneously with the conservation equations of molten magnesium In order to consider the heat transfer through the cooling roil. The finite difference method (2-D) and the finite element method (2-D) are used in the analysis of pool region and cooling roil to reduce computing time and to improve the accuracy of calculation respectively.

  • PDF