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newtonian and joule heating effects in two-dimensional flow of williamson fluid
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نویسنده
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hayat t. ,shafiq a. ,farooq m. a. ,alsulami h. h. ,shehzad s. a.
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منبع
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journal of applied fluid mechanics - 2016 - دوره : 9 - شماره : 4 - صفحه:1969 -1975
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چکیده
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In this article, we have studied the combined effects of newtonian and joule heating in two-dimensional flow of williamson fluid over the stretching surface. mathematical analysis is presented in the presence of viscous dissipation. the governing partial differential equations are reduced into the ordinary differential equations by appropriate transformations. both series and numerical solutions are constructed. graphical results for the velocity and temperature fields are displayed and discussed for various sundry parameters. numerical values of local skin friction coefficient and the local nusselt number are tabulated and analyzed.
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کلیدواژه
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heat transfer; joule heating; williamson fluid; newtonian heating
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آدرس
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quaid-i-azam university, department of mathematics, pakistan. king abdulaziz university, faculty of science, saudi arabia, quaid-i-azam university, department of mathematics, pakistan. preston university, kohat islamabad campus, department of mathematics, pakistan, national university of sciences and technology (nust), centre for advanced mathematics and physics (camp), pakistan, king abdulaziz university, faculty of science, nonlinear analysis and applied mathematics (naam) research group, saudi arabia, comsats institute of information technology, pakistan
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پست الکترونیکی
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ali_qau70@yahoo.com
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Authors
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