MHD mixed convection heat transfer over a non-linear slender elastic sheet with variable fluid properties
, und | 31. Aug. 2017
Über diesen Artikel
Online veröffentlicht: 31. Aug. 2017
Seitenbereich: 351 - 366
Eingereicht: 22. März 2017
Akzeptiert: 31. Aug. 2017
DOI: https://doi.org/10.21042/AMNS.2017.2.00029
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© 2017 K. V. Prasad, Hanumesh Vaidya, K. Vajravelu published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Comparison of wall temperature gradient θ′ (0) for different values of Prandtl number and magnetic parameter when Mn = 0.0, ε = 0.0, λ = 0. and m = 1.0.
| Pr | Present results | Gmbka & Bobba [32] | Chen [33] | Ali [34] |
|---|---|---|---|---|
| 0.01 | -0.01017936 | -0.0099 | 0.0091 | - |
| 0.72 | -0.4631462 | -0.4631 | -0.46315 | -0.4617 |
| 1.0 | -0.5826707 | -0.5820 | -0.58199 | -0.5 801 |
| 3.0 | -1.16517091 | -1.1652 | -1.16523 | -1.1599 |
| 5.0 | -1.56800866 | - | - | - |
| -2.308029 | -2.3080 | -2.30796 | -2.2960 | |
| 100.0 | -7.769667 | -7.7657 | - | - |
Variation of skin fricrion f″(0) and uall-tempeiarure gradient θ′(0) for different values of pliyskal parameters.
| Pr | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2.0 | 0.1 | -5.0 | 1.0 | 0.1 | -5.0 | -1.545068 | -1.080793 | -1.522204 | -1.068792 | -1.499637 | -1.057054 |
| 0.0 | -1335278 | -1.146790 | -1.331519 | -1.134678 | -1.310604 | -1.122755 | |||||
| 0.5 | -1.185840 | -1.189561 | -1.165799 | -1.177318 | -1.146117 | -1.165239 | |||||
| 1.0 | -1.031486 | -1.222858 | -1.012449 | -1-210512 | -0.993795 | -1.198313 | |||||
| 5.0 | 0.5 | -5.0 | 1.0 | 0.0 | 0.1 | -1353883 | -1.530281 | -1.322420 | -1.502237 | -1.291802 | -1.474429 |
| 0.1 | -1352389 | -1380212 | -1320975 | -1356161 | -1290407 | -1332783 | |||||
| 0.2 | -1.351008 | -1.262758 | -1.319643 | -1.242086 | -1.289123 | -1.222008 | |||||
| 5.0 | 0.5 | -5.0 | 1.0 | 0.1 | 0.1 | -1.353871 | -1.383738 | -1.320976 | -1.135616 | -1.290407 | -1.332783 |
| 2.0 | -1.361864 | -2.092309 | -1.330033 | -2.037640 | -1.290407 | -1.984734 | |||||
| 5.0 | -1.371232 | -3.507749 | -1.334456 | -3.362246 | -1.307821 | -3.223160 | |||||
| 10.0 | -1.376316 | -5.101436 | -1.344081 | -4.806734 | -1.312650 | -4.529388 | |||||
| Pr | |||||||||||
| 0.1 | 0.0 | -5.0 | 1.0 | 0.1 | 0.0 | -0.227799 | 5.478141 | -0.631212 | 0.880672 | -1.376995 | -1.399540 |
| 0.1 | -0.409797 | 3.568688 | -0.718014 | 0.679241 | -1.336629 | -1.376940 | |||||
| 0.2 | -0.593180 | 2.335793 | -0 808435 | 0.50008 | -1.297614 | -1.354864 | |||||
| 0.3 | -0.775887 | 1.545657 | -0.902260 | 0.337709 | -1259952 | -1333293 | |||||
| 0.5 | -1.141195 | 0.598557 | -1.099277 | 0.049424 | -1.188558 | -1.291576 | |||||
| 0.75 | -1.603216 | -0.121641 | -1.360758 | -0.266291 | -1.106376 | -1.241904 | |||||
| Pr | |||||||||||
| 0.1 | 0.0 | -5.0 | 1.0 | 0.1 | -0.2 | -0.248745 | 4.692819 | -0.548033 | 3.405338 | ||
| -0.1 | -0.484413 | 1.895248 | -0.725686 | 1.517615 | |||||||
| 0.0 | -0.640512 | 0.806492 | -0.849481 | 0.688922 | |||||||
| 1.0 | -1.134166 | -0.889315 | -1.275859 | -0.858419 | |||||||
| 5.0 | -1.375488 | -1.399645 | -1.496541 | -1.367532 | |||||||
| 10.0 | -1.426228 | -1.494909 | -1.543140 | -1.464027 | |||||||
| Pr | |||||||||||
| 0.1 | 0.0 | 2.0 | 1.0 | 0.1 | -10.0 | -1212481 | -1.169201 | -1.123290 | -1.109093 | ||
| -5.0 | -1.312789 | -1.152769 | -1.211471 | -1.094139 | |||||||
| -3.0 | -1.435761 | -1.132209 | -1.317998 | -1.075621 | |||||||
| -2.0 | -1.576301 | -1.108233 | -1.437581 | -1.054299 | |||||||
Comparison of skin friction –f″(0) when for different values of m and α with θr → ∞, m = 0, ε = 0.0, Mn = 0.0, λ = 0.0.
| Fang et al. [23] By shooting method | Khader and Megahed [24] when Stip velocity parameter | Present Results | ||
|---|---|---|---|---|
| 0.5 | 10 | 1.0603 | 1.0603 | 1.060309 |
| 9 | 1.0589 | 1.0588 | 1.058812 | |
| 7 | 1.0550 | 1.0551 | 1.055122 | |
| 5 | 1.0486 | 1.0486 | 1.048615 | |
| 3 | 1.0359 | 1.0358 | 1.035805 | |
| 2 | 1.0234 | 1.0234 | 1.023424 | |
| 1 | 1.0 | 1.0 | 1.0 | |
| 0.5 | 0.9799 | 0.9798 | 0.979848 | |
| 0 | 0.9576 | 0.9577 | 0.957727 | |
| -1/2 | 1.1667 | 1.1666 | 1.166666 | |
| 0.25 | 10 | 1.1433 | 1.1433 | 1.143309 |
| 9 | 1.1404 | 1.1404 | 1.140481 | |
| 7 | 1.1323 | 1.1323 | 1.132332 | |
| 5 | 1.1186 | 1.1186 | 1.118662 | |
| 3 | 1.0905 | 1.0904 | 1.090409 | |
| 1 | 1.0 | 1.0 | 1.0 | |
| 0.5 | 0.9338 | 0.9337 | 0.933770 | |
| 0 | 0.7843 | 0.7843 | 0.784309 | |
| -1/3 | 0.5000 | 0.5000 | 0.500000 | |
| -1/2 | 0.0833 | 0.08322 | 0.0832227 |