The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-408
Full Name: Precious Sibanda
Position: Associate Professor
Age: ON
Sex: Male
Address: School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg, 3209
Country: SOUTH AFRICA
Tel: +27 33 260 5626
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Fax: +2733 260 5648
E-mail address: sibandap@ukzn.ac.za
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Title of the Paper: On new solutions for heat transfer in a visco-elastic fluid between parallel plates
Authors as they appear in the Paper: Zodwa G Makukula, Precious Sibanda, Sandile S Motsa
Email addresses of all the authors: sibandap@ukzn.ac.za,sandilemotsa@gmail.com,209521320@ukzn.ac.za
Number of paper pages: 10
Abstract: The steady, laminar flow of a third grade fluid with heat transfer through a flat channel is studied. We propose and apply a successive linearisation method (SLM) and an improved spectral-homotopy analysis method (ISHAM), to obtain approximate analytical solutions for the velocity and temperature profiles. The methods are primarily based on blending non-perturbation techniques with Chebyshev spectral methods to produce efficient algorithms for solving highly nonlinear systems. The effects of the Brinkman number, pressure gradient and the non-Newtonian parameter on the velocity, temperature, skin friction and heat transfer coefficients are discussed. Exact solutions are also constructed and compared with the SLM and ISHAM solutions.
Keywords: Viscoelastic flow, heat transfer flow, linearisation method, improved spectral-homotopy analysis method, nonlinear BVPs
EXTENSION of the file: .ps
Special (Invited) Session: On a new quasi-linearisation method for heat transfer in a visco-elastic fluid between parallel plates
Organizer of the Session: 647-184
How Did you learn about congress: Dr. S. Shateyi; stanford.shateyi@univen.ac.za; Prof O D Makinde; makinded@cput.ac.za; Dr GT Marewo; gtmarewo@uniswacc.uniswa.sz
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