Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (9): 1295-1310.doi: https://doi.org/10.1007/s10483-018-2368-9

• 论文 • 上一篇    下一篇

Chemically reactive and radiative von Kármán swirling flow due to a rotating disk

M. KHAN1, J. AHMED1,2, L. AHMAD1,3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Basic Sciences, University of Engineering and Technology, Taxila 47050, Pakistan;
    3. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal Upper Dir 18000, Pakistan
  • 收稿日期:2018-02-07 修回日期:2018-04-09 出版日期:2018-09-01 发布日期:2018-09-01
  • 通讯作者: J. AHMED E-mail:j.ahmed@math.qau.edu.pk

Chemically reactive and radiative von Kármán swirling flow due to a rotating disk

M. KHAN1, J. AHMED1,2, L. AHMAD1,3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Basic Sciences, University of Engineering and Technology, Taxila 47050, Pakistan;
    3. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal Upper Dir 18000, Pakistan
  • Received:2018-02-07 Revised:2018-04-09 Online:2018-09-01 Published:2018-09-01
  • Contact: J. AHMED E-mail:j.ahmed@math.qau.edu.pk

摘要:

A new mathematical model is presented to study the heat and mass transfer characteristics of magnetohydrodynamic (MHD) Maxwell fluid flow over a convectively heated stretchable rotating disk. To regulate the fluid temperature at the surface, a simple isothermal model of homogeneous-heterogeneous reactions is employed. The impact of nonlinear thermal radiative heat flux on thermal transport features is studied. The transformed nonlinear system of ordinary differential equations is solved numerically with an efficient method, namely, the Runge-Kutta-Felberg fourth-order and fifth-order (RKF45) integration scheme using the MAPLE software. Achieved results are validated with previous studies in an excellent way. Major outcomes reveal that the magnetic flux reduces the velocity components in the radial, angular, and axial directions, and enhances the fluid temperature. Also, the presence of radiative heat flux is to raise the temperature of fluid. Further, the strength of homogeneous-heterogeneous reactions is useful to diminish the concentration of reaction.

关键词: ring-stiffened cylindrical shell, radiated sound pressure, Huygensprinciple, rotating stretchable disk, magnetic field, nonlinear radiative heat flux, homogeneous-heterogeneous chemical reaction

Abstract:

A new mathematical model is presented to study the heat and mass transfer characteristics of magnetohydrodynamic (MHD) Maxwell fluid flow over a convectively heated stretchable rotating disk. To regulate the fluid temperature at the surface, a simple isothermal model of homogeneous-heterogeneous reactions is employed. The impact of nonlinear thermal radiative heat flux on thermal transport features is studied. The transformed nonlinear system of ordinary differential equations is solved numerically with an efficient method, namely, the Runge-Kutta-Felberg fourth-order and fifth-order (RKF45) integration scheme using the MAPLE software. Achieved results are validated with previous studies in an excellent way. Major outcomes reveal that the magnetic flux reduces the velocity components in the radial, angular, and axial directions, and enhances the fluid temperature. Also, the presence of radiative heat flux is to raise the temperature of fluid. Further, the strength of homogeneous-heterogeneous reactions is useful to diminish the concentration of reaction.

Key words: ring-stiffened cylindrical shell, radiated sound pressure, Huygensprinciple, rotating stretchable disk, homogeneous-heterogeneous chemical reaction, magnetic field, nonlinear radiative heat flux

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals