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Steady Flow of an Electrically Conducting Incompressible Viscoelastic Fluid over a Heated Plate Mina B. Abd-el-Malek and Medhat M. Helala Department of Mathematics, School of Engineering and Science, The American University in Cairo, Cairo 11511, Egypt; on leave from Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt a Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt Reprint requests to Dr. M. B. A.; Fax: +20-2-795-7565; E

Long-Wave Instabilities of Viscoelastic Fluid Film Flowing Down an Inclined Plane with Linear Temperature Variation Asim Mukhopadhyaya and Samadyuti Haldarb a Vivekananda Mahavidyalaya, Burdwan-713103, India b Hooghly Women’s College, Hooghly-712103, India Reprint requests to A. M.; Fax: +91 342 2541521; E-mail: as1m m@yahoo.co.in Z. Naturforsch. 65a, 618 – 632 (2010); received February 9, 2009 / revised September 7, 2009 The two dimensional flow of a viscoelastic fluid (weakly elastic) represented by Walters’ B′′ model running down an inclined heated plane with

Entropy Analysis of Mixed Convective Magnetohydrodynamic Flow of a Viscoelastic Fluid over a Stretching Sheet Adnan S. Butta, Sufian Munawara, Asif Alia, and Ahmer Mehmoodb a Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan b Department of Mathematics, FBAS, International Islamic University, Islamabad 44000, Pakistan Reprint requests to A. S. B.; E-mail: adnansaeedbutt85@gmail.com Z. Naturforsch. 67a, 451 – 459 (2012) / DOI: 10.5560/ZNA.2012-0055 Received October 28, 2012 / revised March 27, 2012 In the present article, an

Gravity Modulation of Thermal Instability in a Viscoelastic Fluid Saturated Anisotropic Porous Medium Beer S. Bhadauriaa,b, Atul K. Srivastavab, Nirmal C. Sachetic, and Pallath Chandranc a Department of Applied Mathematics and Statistics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, India b Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India c Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, PC 123, Al Khod, Muscat, Sultanate of Oman Reprint

References Abramowitz M. and Stegun L.A. (1972): Handbook of Mathematical Functions . - National Bureau of Standards/Amer Math Soc. 55, Providence, RI. Ali M.E. (1995): On thermal boundary layer on a power law stretched surface with suction or injection . - Int. J. Heat Mass Flow, vol.16, pp.280-290. Andersson H.I. (1992): MHD flow of a viscoelastic fluid past a stretching surface. - Acta. Mech., vol.95, pp.227-230. Chang W.D. (1989): The non-uniqueness of the flow of a viscoelastic fluid over a stretching sheet . - Quart. Appl. Math., vol.47, 2, pp.365

J. Non-Equilib. Thermodyn. 2006 Vol. 31 pp. 189–203 J. Non-Equilib. Thermodyn. 2006 Vol. 31 No. 2 6 Copyright 2006 Walter de Gruyter Berlin New York. DOI 10.1515/JNETDY.2006.009 On a Viscoelastic Fluid Heated from Below in a Porous Medium Pardeep Kumar* and Mahinder Singh Department of Mathematics, ICDEOL, Himachal Pradesh University, Summer- Hill, Shimla 171005, India *Corresponding author (drpardeep@sancharnet.in) Abstract The thermal instability of a viscoelastic (Kuvshiniski-type) fluid in a porous medium is considered. Following linearized stability

M. Sajid, T. Javed, Z. Abbas* and N. Ali Stagnation-point Flow of a Viscoelastic Fluid over a Lubricated Surface Abstract: A stagnation point flow of a viscoelastic Walters’ B fluid over a surface lubricated with a power- law non-Newtonian fluid is considered in this paper. It is assumed that the lubricant is spread over the sheet mak- ing a thin layer of variable thickness. We are interested in a similarity solution of the problem which in the present case exists only for the power-law index n ¼ 1=2. For the other values of the power-law index the non

have been considered in both viscous and viscoelastic fluids. The effective interfacial tension succeeds in stabilizing perturbations of certain wave numbers (small wavelength perturbations) which were unstable in the absence of effective interfacial tension, for unstable configuration/stratification. 1. Introduction A detailed account of the Rayleigh-Taylor instabil­ ity of Newtonian viscous fluids has been given by Chandrasekhar [1]. Oldroyd [2] proposed a theoreti­ cal model for a class of viscoelastic fluids. An experi­ mental demonstration by Toms and

years, much attention has been devoted on the study of gravitational instability in strongly coupled viscoelastic fluid using the generalised hydrodynamic (GH) model. It is proposed by Frenkel [10] and is now frequently used to investigate the stability of a viscoelastic fluid. The viscoelasticity property of a material generally exhibits both viscous and elastic characteristics that are quite different from the solid properties [11]. The general perception is that viscous properties are associated with liquids and elastic properties are associated with solids, but

1 Introduction Non-Newtonian flows have received remarkable attention from researchers over the years due to their relevance in numerous industrial applications. Viscoelastic fluid is a subclass of non-Newtonian fluid which exhibit memory effect i. e. elastic recovery from deformation upon the removal of applied stress. These fluids behave like elastic rubber-like solids and as viscous fluids. Some common viscoelastic fluids are polymers, blood, flour dough, egg white, bitumen and paints. Viscoelastic effects are particularly important when there are sudden