跳至主要内容

A Note on Hydromagnetic Flow of an Oldroyd-B Fluid near an Infinite Plate Induced by Half Rectified Sine Pulses

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47100#.VGGJV2fHRK0

An initial value problem concerning the motion of an incompressible, electrically conducting, viscoelastic Oldroyd-B fluid bounded by an infinite rigid non-conducting plate is solved. The unsteady motion is generated impulsively from rest in the fluid due to half rectified sine pulses subjected on the plate in its own plane in presence of an external magnetic field. It is assumed that no external electric field is acting on the system and the magnetic Reynolds number is very small. The operational method is used to obtain exact solutions for the fluid velocity and the shear stress on the wall. Quantitative analysis of the results is presented with a view to disclose the simultaneous effects of the external magnetic field and the fluid elasticity on the flow and the wall shear stress for different periods of pulsation of the plate. It is also shown that the classical and hydromagnetic Rayleigh solutions appear as the limiting cases of the present analysis.
Cite this paper
Ghosh, A. , Datta, S. and Sen, P. (2014) A Note on Hydromagnetic Flow of an Oldroyd-B Fluid near an Infinite Plate Induced by Half Rectified Sine Pulses. Open Journal of Fluid Dynamics, 4, 226-240. doi: 10.4236/ojfd.2014.42017. 
 

[1] Ghosh, A.K. (1965) Flow of Viscous Liquid Set up between Two Co-Axial Cylinders Due to Pulses of Longitudinal Impulses Applied on the Inner Cylinder. Journal of Science and Engineering Research, 9, 222.
[2] Chakraborty, A. and Ray, J. (1980) Unsteady Magnetohydrodynamic Couetteflow between Two Plates When One of the Plates Is Subjected to Random Pulses. Journal of the Physical Society of Japan, 48, 1361-1364.
http://dx.doi.org/10.1143/JPSJ.48.1361
[3] Makar, M.N. (1987) Magnetohydrodynamic Flow between Two Plates When One of the Platesis Subjected to Tooth Pulses. Acta Physica Polonica, A71, 995.
[4] Bestman, A.R. and Njoku, F.I. (1988) On Hydromagnetic Channel Flow Induced by Toothpulses. Miramare-Trieste.
[5] Ghosh, A.K. and Sarkar, K. (1995) On Hydromagnetic Channel Flow of a Dusty Fluid Induced by Tooth Pulses. Journal of the Physical Society of Japan, 64, 1489-1500.
http://dx.doi.org/10.1143/JPSJ.64.1489
[6] Ghosh, S. and Ghosh, A.K. (2004) On Hydromagnetic Channel Flow of a Particulate Suspension Induced by Rectified Sine Pulses. Journal of the Physical Society of Japan, 73, 1506-1513.
http://dx.doi.org/10.1143/JPSJ.73.1506
[7] Ghosh, S. and Ghosh, A.K. (2004) On Hydromagnetic Flow of a Two-Phase Fluid near a Pulsating Plate. Indian Journal of Pure and Applied Mathematics, 36, 529.
[8] Datta, N., Dalal, D.C. and Mishra, S.K. (1993) Unsteady Heat Transfer to Pulsatile Flow of a Dustyviscous Incompressible Fluid in a Channel. International Journal of Heat and Mass Transfer, 36, 1783-1788.
http://dx.doi.org/10.1016/S0017-9310(05)80164-4
[9] Datta, N. and Dalal, D.C. (1995) Pulsatile Flow and Heat Transfer of a Dusty Fluid through an Infinitely Long Annular Pipe. International Journal of Multiphase Flow, 21, 515-528.
http://dx.doi.org/10.1016/0301-9322(94)00064-Q
[10] Tanner, R.I. (1962) Note on the Rayleigh Problem for a Viscoelastic Fluid. Zeitschrift fur Angewandte Mathematik und Physik, 8, 573.
[11] Ghosh, A.K. and Mitra, S. (1977) On Stokes’ Problems for Linear Viscoelastic Fluids. Bulletinde L’Academie Polonaise des Sciences, 25, 55.
[12] Ghosh, A.K. and Debnath, L. (1992) On Heat Transfer to Pulsatile Flow of a Viscoelastic Fluid. Acta Mechanica, 93, 169-177.
http://dx.doi.org/10.1007/BF01182582
[13] Rajagopal, K.R. and Bhatnagar, R.K. (1995) Exact Solutions for Some Simple Flows of an Oldroyd-B Fluid. Acta Mechanica, 113, 233-239.
http://dx.doi.org/10.1007/BF01212645
[14] Hayat, T., Siddiqui, A.M. and Asghar, S. (2001) Some Simple Flows of an Oldroyd-B Fluid. International Journal of Engineering Science, 39, 135-147.
http://dx.doi.org/10.1016/S0020-7225(00)00026-4
[15] Hayat, T., Hutter, K., Asghar, S. and Siddiqui, A.M. (2002) MHD Flows of an Oldroyd-B Fluid. Mathematical and Computer Modelling, 36, 987-995.
http://dx.doi.org/10.1016/S0895-7177(02)00252-2
[16] Tan, W.C. and Masuoka, T. (2005) Stokes’ First Problem for an Oldroyd-B Fluid in a Porous Half Space. Physics of Fluids, 17, Article ID: 023101.
http://dx.doi.org/10.1063/1.1850409
[17] Javadjzadegan, A., Esmaeili, M., Majidi, S. and Fakhimghanbarzadeh, B. (2009) Pulsatile Flow of Viscous and Vis- coelastic Fluids in Constricted Tubes. Journal of Mechanical Science and Technology, 23, 2456-2467.
http://dx.doi.org/10.1007/s12206-009-0713-9
[18] Ghosh, A.K. and Sana, P. (2009) On Hydromagnetic Rotating Flow of an Oldroyd-B Fluid near an Oscillating Plate. Zeitschrift für angewandte Mathematik und Physik, 60, 1135-1155.
http://dx.doi.org/10.1007/s00033-009-8060-3                  eww141111lx
[19] Yang, H.T. and Healy, J.V. (1973) The Stokes Problem for a Conducting Fluid with Suspension of Particles. Applied Scientific Research, 21, 378.
标签：

评论

发表评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...
发表评论
阅读全文

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...
发表评论
阅读全文