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 results		Gorla and Chamkha [32]
	−𝜃^(0)	−𝜙^(0)	−𝜃^(0)	−𝜙^(0)
𝑁𝑟	𝑁𝑏=0.3,𝑁𝑡=0.1,𝐿𝑒=10,𝛾=1000,𝑓𝑤=0
0.1	0.32578	1.48242	3.26𝐸−01	1.484164
0.2	0.32385	1.46704	3.25𝐸−01	1.468161
0.3	0.32188	1.45125	3.22𝐸−01	1.452664
0.4	0.31985	1.43503	3.21𝐸−01	1.436392
0.5	0.31777	1.41833	3.19𝐸−01	1.419499
𝑁𝑡	𝑁𝑏=0.3,𝑁𝑟=0.5,𝐿𝑒=10,𝛾=1000,𝑓𝑤=0
0.1	0.31777	1.41833	3.19𝐸−01	1.419499
0.2	0.30486	1.41491	3.05𝐸−01	1.416536
0.3	0.2927	1.41561	2.93𝐸−01	1.416866
0.4	0.28125	1.41991	2.82𝐸−01	1.421582
0.5	0.27046	1.42737	2.71𝐸−01	1.429226
𝑁𝑏	𝑁𝑡=0.1,𝑁𝑟=0.5,𝐿𝑒=10,𝛾=1000,𝑓𝑤=0
0.1	0.3672	1.32611	3.68𝐸−01	1.327454
0.2	0.34271	1.39216	3.43𝐸−01	1.393615
0.3	0.31777	1.41833	3.19𝐸−01	1.419499
0.4	0.29399	1.43428	2.94𝐸−01	1.435464
0.5	0.27161	1.44598	2.72𝐸−01	1.44772