In this paper, we present the analysis of the blade coating process of an incompressible Powell-Eyring fluid which serves as a lubricant. The application of the lubrication approximation theory (LAT) has been utilized for simplification of the equations of the motion. For the investigation of the nature of the steady solution which exist, we make use of perturbation technique and numerical method. The solution expressions of the velocity profile, pressure gradient, rate of volumetric flow, shear stresses at the walls y = 0 and y = h, and distribution of pressure are obtained. Some of the results are presented graphically whereas the tabulated forms are given for the others. Here it has been observed that only non-Newtonian and viscous terms are having affects, where as the inertial term is negligible. Taking the non-Newtonian affects smaller than the viscous ones, the approximate perturbation solution is calculated.
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Int Islamic Univ, Fac Basic & Appl Sci, Dept Math & Stat, Islamabad 44000, PakistanQuaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
Sajjad, Rai
Muhammad, Taseer
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Quaid I Azam Univ, Dept Math, Islamabad 44000, PakistanQuaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
Muhammad, Taseer
Alsaedi, Ahmed
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King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi ArabiaQuaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
Alsaedi, Ahmed
Ellahi, Rahmat
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Int Islamic Univ, Fac Basic & Appl Sci, Dept Math & Stat, Islamabad 44000, Pakistan
Univ Calif Riverside, Dept Mech Engn, Bourns Hall A373, Riverside, CA 92521 USAQuaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
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Fatima Jinnah Women Univ, Dept Math Sci, Rawalpindi 46000, PakistanFatima Jinnah Women Univ, Dept Math Sci, Rawalpindi 46000, Pakistan
Hina, S.
Mustafa, M.
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NUST, SNS, Islamabad 44000, PakistanFatima Jinnah Women Univ, Dept Math Sci, Rawalpindi 46000, Pakistan
Mustafa, M.
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Hayat, T.
Alsaedi, A.
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King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80257, Jeddah 21589, Saudi ArabiaFatima Jinnah Women Univ, Dept Math Sci, Rawalpindi 46000, Pakistan