The application of homotopy analysis method to thin film flows of a third order fluid

DOI10.1016/j.chaos.2006.11.034zbMath1146.76588OpenAlexW1968199176MaRDI QIDQ953593

M. Sajid, Tasawar Hayat

Publication date: 6 November 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.11.034

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Theoretical approximation of solutions to ordinary differential equations (34A45) Thin fluid films (76A20)

Related Items (34)

Flow and heat transfer with prescribed skin friction in a rotating fluid ⋮ Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface ⋮ Thermal radiation effects on the flow and heat transfer in a liquid film on an unsteady stretching sheet ⋮ Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method ⋮ The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method ⋮ On modified algorithm for fourth-grade fluid ⋮ On the homotopy analysis method for the exact solutions of Helmholtz equation ⋮ A semi-analytical iterative method for solving nonlinear thin film flow problems ⋮ On thin film flow of a third-grade fluid down an inclined plane ⋮ Solution of third grade thin film flow using algorithmic differentiation ⋮ Exact analytical solutions for the Poiseuille and Couette-Poiseuille flow of third grade fluid between parallel plates ⋮ Mathematical properties of \(\hbar\)-curve in the frame work of the homotopy analysis method ⋮ Thin film flow of an Oldroyd 8-constant fluid: an exact solution ⋮ Generalized approximation method and a thin film flow of a third grade fluid on a moving belt ⋮ Wavelet-based homotopy analysis method for nonlinear matrix system and its application in Burgers equation ⋮ Three-dimensional flow of an elastico-viscous fluid with mass transfer ⋮ Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity ⋮ On comparison of series and numerical solutions for second Painlevé equation ⋮ Solution of the Jeffery-Hamel flow problem by optimal homotopy asymptotic method ⋮ Numerical solution of the generalized Zakharov equation by homotopy analysis method ⋮ On the homotopy solution for Poiseuille flow of a fourth grade fluid ⋮ Heat and mass transfer for Sorét and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid ⋮ A new application of the homotopy analysis method: solving the Sturm-Liouville problems ⋮ Predictor homotopy analysis method and its application to some nonlinear problems ⋮ Homotopy analysis method applied to electrohydrodynamic flow ⋮ On exact solutions for thin film flows of a micropolar fluid ⋮ Homotopy solution for the unsteady three-dimensional MHD flow and mass transfer in a porous space ⋮ Shrinking flow of second grade fluid in a rotating frame: an analytic solution ⋮ Three-dimensional flow over a stretching surface in a viscoelastic fluid ⋮ Analytical solution for time-dependent flow of a third grade fluid induced due to impulsive motion of a flat porous plate ⋮ Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations ⋮ On comparison of the solutions for an axisymmetric flow ⋮ Comparison of symmetry and homotopy solutions for nonlinear heat transfer systems ⋮ EXACT AND APPROXIMATE ANALYTIC SOLUTIONS OF THE JEFFERY-HAMEL FLOW PROBLEM BY THE DUAN-RACH MODIFIED ADOMIAN DECOMPOSITION METHOD

Cites Work

• Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
• A new branch of solutions of boundary-layer flows over an impermeable stretched plate
• Homotopy analysis of nonlinear progressive waves in deep water
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Solving the one-loop soliton solution of the Vakhnenko equation by means of the homotopy analysis method
• Couette and Poiseuille flows of an Oldroyd 6-constant fluid with magnetic field
• MHD boundary-layer flow of an upper-convected Maxwell fluid in a porous channel
• Homotopy perturbation method for thin film flow of a third-grade fluid down an inclined plane
• Explicit series solution of travelling waves with a front of Fisher equation
• Solving solitary waves with discontinuity by means of the homotopy analysis method
• An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate
• A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield
• A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate
• Analytic solutions of the temperature distribution in Blasius viscous flow problems
• On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
• An exact and explicit solution for the valuation of American put options

This page was built for publication: The application of homotopy analysis method to thin film flows of a third order fluid