Mass transpiration on Newtonian flow over a porous stretching/shrinking sheet with slip |
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Affiliation: | 1. Department of Mathematics, Davangere University, Shivagangothri, Davangere 577 007, India;2. Department of Mathematics, Government Engineering College, Hassan 573 201, India, Affiliated to Visvesvaraya Technological University, Belagavi, India;3. Department of Theoretical Mechanics, Tomsk State University, 634050, Tomsk, Russia;4. Department of Mathematics, Cankaya University, Faculty of Arts & Science, Balgat 0630, Ankara, Turkey and Institute of Space Science, Magurele-Bucharest, Romania;5. Institute of Higher Education “Ettore Majorana” Via Caselle, 26 40068 San Lazzaro di Savena (BO) Italy;1. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11757, Cairo, Egypt;3. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia;1. Department of Mathematics, Centre for Defence Foundation Studies, Universiti Pertahanan Nasional Malaysia, Kem Sungai Besi 57000 Kuala Lumpur, Malaysia;2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;3. Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania |
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Abstract: | The motivation behind this article is to research the Newtonian liquid flow porous stretching/shrinking sheet utilizing a Brinkman model. The leading system of non-linear partial differential equations relating the article is mapped to standard ordinary differential equations via similarity transformations. Exact result is obtained for velocity. The effects of the Brinkman number or viscosity ratio, slip parameter, Darcy number, suction/injection (mass transpiration) parameter and the mass suction parameter on the velocity dispersion are introduced graphically and talked about. The outcomes have conceivable innovative applications in extrusion process and such other unified zones and in the fluid based frameworks including stretchable materials. Examination of fluid flow past a permeable stretching/shrinking sheet embedded in a non-Darcy permeable medium has been performed for a wide scope of various parameters. Exact solution has been obtained. |
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