International Communications in Heat and Mass Transfer
Laminar convection in a vertical channel with viscous dissipation and buoyancy effects
References (12)
- et al.
Int. J. Heat Mass Transfer
(1971) Appl. Sci. Res. A
(1951)- et al.
Appl. Sci. Res.
(1976) - et al.
Viscous Dissipation in Duct Flow of Molten Polymers
Int. J. Heat Mass Transfer
(1997)Int. J. Heat Mass Transfer
(1997)
Cited by (19)
Nonlinear fractional order boundary-value problems with multiple solutions
2018, Mathematical Techniques of Fractional Order SystemsA new approach for a class of nonlinear boundary value problems with multiple solutions
2015, Journal of the Association of Arab Universities for Basic and Applied SciencesCitation Excerpt :To show the efficiency and importance of the proposed method, four practical problems are solved. A problem arising in mixed convection flows in a vertical channel (Barletta, 1999; Barletta et al., 2005), Bratu’s problem (Wazwaz, 2012; Jalilian, 2010; Wazwaz, 2005), the nonlinear model of diffusion and reaction in porous catalysts (Sun et al., 2004; Abbasbandy, 2008; Magyari, 2008) and the nonlinear reactive transport model (Ellery and Simpson, 2011; Vosoughi et al., 2012), respectively and all of them admit multiple (dual) solutions which is why these models have been chosen to accomplish the article’s goal. The Eq. (2.11) has two unknown parameters α and h which control the approximation um+1(t,α,h) that converges to the exact solution.
Predictor homotopy analysis method and its application to some nonlinear problems
2011, Communications in Nonlinear Science and Numerical SimulationCitation Excerpt :The aforementioned idea has been conjecturally tested on nonlinear model of diffusion and reaction in porous catalysts [29] for the first time. In the present paper, we demonstrate the whole theory of the technique and moreover the legitimacy and reliability of the method is tested by its application to two nonlinear problems arising in mixed convection flows in a vertical channel [30,31] and heat transfer [32], respectively which both of them admit multiple (dual) solutions that is reason why this models have been chosen to accomplish article’s goal. Convergence theorem
Mixed convection in cylindrical annulus with rotating outer cylinder and constant magnetic field with an effect in the radial direction
2012, Scientia IranicaCitation Excerpt :Also, mixed heat and fluid flow in inner cylinder rotating annuli [13], and heat convection from an isothermally heated horizontal rotating cylinder [14] have been performed. Barletta [15–17] conducted an analytical method of perturbation to solve momentum balance and energy balance equations for investigating flow and heat transfer in vertical ducts. Effects of viscous dissipation on mixed convection in an inclined channel and in a vertical tube are also reported, using the perturbation method [18,19].
Dual mixed convection flows in a vertical channel
2005, International Journal of Heat and Mass Transfer