On solutions of some non-linear differential equations arising in third grade fluid flows

DOI10.1016/S0020-7225(02)00070-8zbMath1211.76015OpenAlexW2012542414MaRDI QIDQ532824

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7225(02)00070-8

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items (4)

Flow field of a third-grade non-Newtonian fluid in the annulus of rotating concentric cylinders in the presence of magnetic field ⋮ Perturbation solutions for Hagen-Poiseuille flow and heat transfer of third-grade fluid with temperature-dependent viscosities and internal heat generation ⋮ Exact analytical solutions for the Poiseuille and Couette-Poiseuille flow of third grade fluid between parallel plates ⋮ Exact solutions of a third-grade fluid flow on a porous plate

Cites Work

• An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate
• On the creeping flow of the second-order fluid
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• Analytical and numerical solutions of nonlinear differential equations arising in non-Newtonian fluid flows
• Existence, uniqueness and stability of steady flows of second- and third-grade fluids in an unbounded pipe-like domain
• On the formulation of rheological equations of state
• Thermodynamics and stability of fluids of third grade
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