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2014
DOI: 10.1155/2014/419568
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Magnetohydrodynamic Stagnation Flow and Heat Transfer toward a Stretching Permeable Cylinder

Abstract: We perform an analysis of MHD flow and heat transfer on a stretching, permeable cylinder. We prove existence of solutions for all values of the relevant parameters and provide uniqueness results in the case of a monotonic solution. The nonlinear boundary value problem that is derived from a similarity transformation of the governing system of nonlinear partial differential equations is solved numerically and the results are presented with graphs and tables.

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Cited by 9 publications
(8 citation statements)
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References 13 publications
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“…The current results are checked for validation in Table 2 and Table 3. Their acceptable accord with those by Mastroberardino and Siddique [22] has eslablished the accuracy of the present numeric scheme. The outcomes for velocity f (ξ), temperature θ (ξ) and concentration φ (ξ) are sketched in Figure 2 to Figure 5 for two cases of γ(γ = −0.5andγ = 0.5) with the variation of other influential parameters.…”
Section: Resultssupporting
confidence: 85%
“…The current results are checked for validation in Table 2 and Table 3. Their acceptable accord with those by Mastroberardino and Siddique [22] has eslablished the accuracy of the present numeric scheme. The outcomes for velocity f (ξ), temperature θ (ξ) and concentration φ (ξ) are sketched in Figure 2 to Figure 5 for two cases of γ(γ = −0.5andγ = 0.5) with the variation of other influential parameters.…”
Section: Resultssupporting
confidence: 85%
“…The current results are checked for validation as listed in Table 2 and 3 . Their acceptable accord with those by Mastroberardino and Siddique 41 has established the accuracy of the present numeric scheme. The pictorial representation for Casson nano-fluid’s velocity, temperature and concentration of nano-entities graphed for two cases of mass transpiration .…”
Section: Resultssupporting
confidence: 84%
“… M Re 41 (Present results) Percentage deviation 41 (present results) Percentage deviation 0 10 − 6.62227 − 6.6223 0.000453 − 1.67757 − 1.6778 − 0.013710 2 − 6.88470 − 6.8847 0.000000 − 1.92938 − 1.9294 0.001036 5 10 − 7.24505 − 7.2451 0.000690 − 2.27933 − 2.2793 − 0.001316 2 1 − 2.21659 − 2.2180 0.063611 − 1.72075 − 1.7214 0.037774 5 − 4.33228 − 4.3330 0.016619 − 1.86364 − 1.8638 0.008585 10 − 6.88470 − 6.8847 0.000000 − 1.92938 − 1.9294 0.001036 …”
Section: Resultsunclassified
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“…Moreover, in[23] [24] Analyzed heat transfer of MHD stagnation flow past non-isothermal stretching and stationary cylinder. The analysis was done without radiation, viscous dissipation, heat source and thermal buoyancy but[25] reported on the decreasing effect of Reynolds number and magnetic field parameters on the flow velocity profiles in. The effect of the thermal conductivity on the temperature-dependent flow and thermal boundary layer sideways of a broadening cylinder was investigated in (Sharma, et al)[26].…”
mentioning
confidence: 99%