Journal of Applied Mathematics / 2012 / Article / Tab 1

Research Article

Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid

Table 1

Comparison of present results with Gorla and Chamkha [32] for different values of buoyancy and nanofluid parameters.

Present resultsGorla and Chamkha [32]
βˆ’ πœƒ ξ…ž ( 0 ) βˆ’ πœ™ ξ…ž ( 0 ) βˆ’ πœƒ ξ…ž ( 0 ) βˆ’ πœ™ ξ…ž ( 0 )

𝑁 π‘Ÿ 𝑁 𝑏 = 0 . 3 , 𝑁 𝑑 = 0 . 1 , 𝐿 𝑒 = 1 0 , 𝛾 = 1 0 0 0 , 𝑓 𝑀 = 0

0.10.325781.48242 3 . 2 6 𝐸 βˆ’ 0 1 1.484164
0.20.323851.46704 3 . 2 5 𝐸 βˆ’ 0 1 1.468161
0.30.321881.45125 3 . 2 2 𝐸 βˆ’ 0 1 1.452664
0.40.319851.43503 3 . 2 1 𝐸 βˆ’ 0 1 1.436392
0.50.317771.41833 3 . 1 9 𝐸 βˆ’ 0 1 1.419499

𝑁 𝑑 𝑁 𝑏 = 0 . 3 , 𝑁 π‘Ÿ = 0 . 5 , 𝐿 𝑒 = 1 0 , 𝛾 = 1 0 0 0 , 𝑓 𝑀 = 0

0.10.317771.41833 3 . 1 9 𝐸 βˆ’ 0 1 1.419499
0.20.304861.41491 3 . 0 5 𝐸 βˆ’ 0 1 1.416536
0.30.29271.41561 2 . 9 3 𝐸 βˆ’ 0 1 1.416866
0.40.281251.41991 2 . 8 2 𝐸 βˆ’ 0 1 1.421582
0.50.270461.42737 2 . 7 1 𝐸 βˆ’ 0 1 1.429226

𝑁 𝑏 𝑁 𝑑 = 0 . 1 , 𝑁 π‘Ÿ = 0 . 5 , 𝐿 𝑒 = 1 0 , 𝛾 = 1 0 0 0 , 𝑓 𝑀 = 0

0.10.36721.32611 3 . 6 8 𝐸 βˆ’ 0 1 1.327454
0.20.342711.39216 3 . 4 3 𝐸 βˆ’ 0 1 1.393615
0.30.317771.41833 3 . 1 9 𝐸 βˆ’ 0 1 1.419499
0.40.293991.43428 2 . 9 4 𝐸 βˆ’ 0 1 1.435464
0.50.271611.44598 2 . 7 2 𝐸 βˆ’ 0 1 1.44772