Table 5 Heat transfer rate \(z = \eta \theta_{y}\) at wall for P-nano fluid and P-GO hybrid nanofluid varying (non-uniformity) convergent/uniform/divergent channel over shape effect fixing values \(M = 1,x = 0.3,Q = 0.3,\beta = 0.2,\gamma = 0.3,\phi = 0.1,B_{r} = 0.4,\)\(\varphi_{P} = 0.1.\)
\(\varphi_{GO}\) | \(m\) | \(h_{x} \theta_{y} (x,h)\) m0 = 3 \((Sphere)\) | \(h_{x} \theta_{y} (x,h)\) m0 = 3.7 \((Brick)\) | \(h_{x} \theta_{y} (x,h)\) m0 = 4.9 \((Cylinder)\) | \(h_{x} \theta_{y} (x,h)\) m0 = 5.7 \((Platelet)\) | \(h_{x} \theta_{y} (x,h)\) m0 = 8.6 \((Blade)\) |
|---|---|---|---|---|---|---|
0.00 | − 0.1 | 0.1569780 | 0.1561410 | 0.155357 | 0.1550450 | 0.1544430 |
0.0 | 0.1043780 | 0.1038210 | 0.103300 | 0.1030920 | 0.1026920 | |
0.1 | 0.0508753 | 0.0506038 | 0.0503499 | 0.0502486 | 0.0500537 | |
0.05 | − 0.1 | 0.1425840 | 0.1374530 | 0.1299002 | 0.1254470 | 0.1118480 |
0.0 | 0.0946780 | 0.0912709 | 0.0862574 | 0.0832987 | 0.0742693 | |
0.1 | 0.0460722 | 0.0460722 | 0.0419945 | 0.0405348 | 0.0361409 | |
0.10 | − 0.1 | 0.1313060 | 0.1234120 | 0.1122010 | 0.1058880 | 0.0881193 |
0.0 | 0.0870713 | 0.0818365 | 0.0744023 | 0.0702159 | 0.0584334 | |
0.1 | 0.0423006 | 0.0397574 | 0.0361458 | 0.0341120 | 0.0283899 |
