Mathematical modeling of slip and magnetohydrodynamics effects in blade coating

被引：28
|
作者：
Sajid, M. [1 ]
Shahzad, H. [1 ]
Mughees, M. [1 ]
Ali, N. [1 ]
机构：
[1] Int Islamic Univ, Dept Math & Stat, Islamabad 44000, Pakistan
来源：
JOURNAL OF PLASTIC FILM & SHEETING | 2019年 / 35卷 / 01期
关键词：
Blade coating; lubrication approximation; magnetohydrodynamics; slip effects; exact and numerical solution; STAGNATION-POINT FLOW; STRETCHING SHEET; BOUNDARY-CONDITION; 2ND-GRADE FLUID; HEAT-TRANSFER; MHD;
D O I：
10.1177/8756087918777782
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
A mathematical analysis for magnetohydrodynamics and slip effects is presented for blade coating onto a moving sheet of viscous fluid. An applied magnetic field is imposed normal to the flow and slip is considered at the web surface. The shooting method is applied to obtain the numerical solution of governing differential equations. Both numerical and exact solutions are utilized to describe the velocity profile, volumetric flow rate, pressure gradient, pressure and maximum pressure. How slip parameter and the Hartmann number influences properties is discussed through the graphical results. It is calculated that the presence of slip and applied magnetic field controls the sheet velocity in the blade coating process.
引用
收藏
页码：9 / 21
页数：13
相关论文
共 50 条
  • [31] An Improved Blow-Up Criterion for the Magnetohydrodynamics with the Hall and Ion-Slip Effects
    Gala S.
    Ragusa M.A.
    Journal of Mathematical Sciences, 2024, 278 (2) : 306 - 313
  • [32] A class of global large, smooth solutions for the magnetohydrodynamics with Hall and ion-slip effects
    Zhang, Huali
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (10) : 5721 - 5736
  • [33] On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects
    Fan, Jishan
    Jia, Xuanji
    Nakamura, Gen
    Zhou, Yong
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (04): : 1695 - 1706
  • [34] COATING VISCOELASTICITY AND BLADE COATING DEFECTS
    TRIANTAFILLOPOULOS, N
    GRANKVIST, T
    PAPERI JA PUU-PAPER AND TIMBER, 1994, 76 (10): : 663 - 667
  • [35] A Numerical Approach to the Modeling of Thomson and Troian Slip on Nonlinear Radiative Microrotation of Casson Carreau Nanomaterials in Magnetohydrodynamics
    Shaw, S.
    Patra, A.
    Misra, A.
    Nayak, M. K.
    Chamkha, Ali J.
    JOURNAL OF NANOFLUIDS, 2021, 10 (03) : 305 - 315
  • [36] Mathematical modeling of the non-slip wave tooth profile in the contact
    Kudyurov, S. L.
    Kudyurov, L. V.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2006, (42): : 92 - 97
  • [37] MATHEMATICAL-MODELING OF THE SLIP OF A SYSTEM OF RIGID BODIES ALONG A SURFACE
    NIKITINA, NV
    SOVIET APPLIED MECHANICS, 1991, 27 (12): : 1228 - 1234
  • [38] MATHEMATICAL MODELING FOR HYDROMAGNETIC FLOW THROUGH A CHANNEL OF SMOOTHLY VARYING GAP COVERED BY POROUS MEDIA WITH SLIP EFFECTS
    Ramakrishnan K.
    Special Topics and Reviews in Porous Media, 2022, 13 (05): : 13 - 30
  • [39] MATHEMATICAL MODELING FOR HYDROMAGNETIC FLOW THROUGH A CHANNEL OF SMOOTHLY VARYING GAP COVERED BY POROUS MEDIA WITH SLIP EFFECTS
    Ramakrishnan, K.
    SPECIAL TOPICS & REVIEWS IN POROUS MEDIA-AN INTERNATIONAL JOURNAL, 2022, 13 (05) : 13 - 30
  • [40] Flexible blade coating
    Giacomin, A. J.
    Cook, J. D.
    Johnson, L. M.
    Mix, A. W.
    JOURNAL OF COATINGS TECHNOLOGY AND RESEARCH, 2012, 9 (03) : 269 - 277
12345