Analytical solution of heat transfer over an unsteady stretching permeable surface with prescribed wall temperature

Successive linearisation analysis of unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and thermal radiation effects

“…Table 1 indicates that the SLM is very accurate and rapidly converges to the numerical results generated by bvp4c. The numerical results obtained by Ziabakhsh et al (2010) are comparable with the present numerical results of bvp4c. The HAM results are not so accurate.…”

“…From Table 2 we observe that the SLM is very accurate and rapidly converges to the numerical results generated by bvp4c. The numerical results obtained by Ziabakhsh et al (2010) are comparable with the present numerical results of bvp4c except when Pr < 1 where it can be seen that the results of Ziabakhsh et al (2010) become less accurate. The HAM results are not so accurate.…”

“…In order to check the accuracy of the SLM used, a comparison of the skin friction f (0) and heat transfer rate at the wall  (0) for Gr = 0, Gc = 0, K = 0, R = 0 with various values of f w , A and Pr is made with the results reported in Ziabakhsh et al (2010). A comparison of the present results for the skin friction f (0) is also made with the results of Dulal and Hiremath (2009) for various values of A and K when Gr = 0, Gc = 0, f w = 0, R = 0.…”

“…Numerical and graphical results obtained using the SLM approach are validated through comparison with numerical results generated using the inbuilt MATLAB boundary value solver, bvp4c, for different values of the governing physical parameters. Comparison is also made with the results of Ziabakhsh et al (2010), who used the homotopy analysis method (HAM), and the results of Pal and Hiremath (2009) who used the Runge-Kutta-Fehlberg to solve a related problem. The study demonstrates that the new SLM approach is much more accurate and efficient than the other methods and demonstrates that the SLM can be used as a very effective tool for solving highly nonlinear equations arising in fluid mechanics and other areas of science and engineering.…”

Physical Relationships Between Nanoparticle and Nanofluid Flow

“…This multidisciplinary concept has frequent applications in high speed flows, thrust bearings, and thermal oil recovery (see Bhattacharyya and Vajravelu, 2012;Hiemenz, 1911;Homann and Angew, 1936;Ziabakhsh et al, 2010). This multidisciplinary concept has frequent applications in high speed flows, thrust bearings, and thermal oil recovery (see Bhattacharyya and Vajravelu, 2012;Hiemenz, 1911;Homann and Angew, 1936;Ziabakhsh et al, 2010).…”