Table 3 Solutions of hybrid nanofluid model for the velocity and temperature for MRW and SRW cases.
\(\:\varvec{\eta\:}\) | Velocity Solution | Temperature Solution | ||
|---|---|---|---|---|
MRW Case \(\:\lambda\:=0.3\) | SRW Case \(\:\lambda\:=0.0\) | MRW Case \(\:\lambda\:=0.3\) | SRW Case \(\:\lambda\:=0.0\) | |
\(\:0.0\) | \(\:0.3\) | \(\:0.0\) | \(\:1.0\) | \(\:1.0\) |
\(\:0.1\) | \(\:0.372447\) | \(\:0.089580\) | \(\:0.917856\) | \(\:0.936668\) |
\(\:0.2\) | \(\:0.440879\) | \(\:0.174906\) | \(\:0.834197\) | \(\:0.871175\) |
\(\:0.3\) | \(\:0.505235\) | \(\:0.255954\) | \(\:0.750049\) | \(\:0.803892\) |
\(\:0.4\) | \(\:0.565462\) | \(\:0.332687\) | \(\:0.666559\) | \(\:0.735337\) |
\(\:0.5\) | \(\:0.621525\) | \(\:0.405064\) | \(\:0.584946\) | \(\:0.666168\) |
\(\:0.6\) | \(\:0.673406\) | \(\:0.473043\) | \(\:0.506436\) | \(\:0.597164\) |
\(\:0.7\) | \(\:0.721116\) | \(\:0.536590\) | \(\:0.432192\) | \(\:0.529194\) |
\(\:0.8\) | \(\:0.764689\) | \(\:0.595685\) | \(\:0.363238\) | \(\:0.463177\) |
\(\:0.9\) | \(\:0.804194\) | \(\:0.650326\) | \(\:0.300403\) | \(\:0.400026\) |
\(\:1.0\) | \(\:0.839730\) | \(\:0.700538\) | \(\:0.244270\) | \(\:0.340602\) |
\(\:1.1\) | \(\:0.871428\) | \(\:0.746371\) | \(\:0.195146\) | \(\:0.285656\) |
\(\:1.2\) | \(\:0.899446\) | \(\:0.787906\) | \(\:0.153061\) | \(\:0.235780\) |
\(\:1.3\) | \(\:0.923975\) | \(\:0.825256\) | \(\:0.117789\) | \(\:0.191377\) |
\(\:1.4\) | \(\:0.945224\) | \(\:0.858565\) | \(\:0.088882\) | \(\:0.152633\) |
\(\:1.5\) | \(\:0.963425\) | \(\:0.888008\) | \(\:0.065730\) | \(\:0.119538\) |
\(\:1.6\) | \(\:0.978823\) | \(\:0.913786\) | \(\:0.047615\) | \(\:0.091863\) |
\(\:1.7\) | \(\:0.991670\) | \(\:0.936126\) | \(\:0.033772\) | \(\:0.069231\) |
\(\:1.8\) | \(\:1.002220\) | \(\:0.955270\) | \(\:0.023444\) | \(\:0.051139\) |
\(\:1.9\) | \(\:1.010730\) | \(\:0.971478\) | \(\:0.015923\) | \(\:0.037007\) |
\(\:2.0\) | \(\:1.017450\) | \(\:0.985016\) | \(\:0.010578\) | \(\:0.026223\) |
\(\:2.1\) | \(\:1.022610\) | \(\:0.996153\) | \(\:0.006871\) | \(\:0.018189\) |
\(\:2.2\) | \(\:1.026440\) | \(\:1.005150\) | \(\:0.004364\) | \(\:0.012344\) |
\(\:2.3\) | \(\:1.029130\) | \(\:1.012280\) | \(\:0.002709\) | \(\:0.008195\) |
\(\:2.4\) | \(\:1.030870\) | \(\:1.017770\) | \(\:0.001643\) | \(\:0.005321\) |
\(\:2.5\) | \(\:1.031830\) | \(\:1.021870\) | \(\:0.000744\) | \(\:0.003378\) |
\(\:2.6\) | \(\:1.032150\) | \(\:1.024780\) | \(\:0.000564\) | \(\:0.002096\) |
\(\:2.7\) | \(\:1.031970\) | \(\:1.026700\) | \(\:0.000319\) | \(\:0.001271\) |
\(\:2.8\) | \(\:1.031380\) | \(\:1.027790\) | \(\:0.000176\) | \(\:0.000753\) |
\(\:2.9\) | \(\:1.030480\) | \(\:1.028220\) | \(\:0.000095\) | \(\:0.000436\) |
\(\:3.0\) | \(\:1.029350\) | \(\:1.028120\) | \(\:0.000050\) | \(\:0.000247\) |
\(\:3.1\) | \(\:1.028040\) | \(\:1.027590\) | \(\:0.000025\) | \(\:0.000136\) |
\(\:3.2\) | \(\:1.026620\) | \(\:1.026730\) | \(\:0.000012\) | \(\:0.000073\) |
\(\:3.3\) | \(\:1.025100\) | \(\:1.025630\) | \(\:6.35\times\:{10}^{-6}\) | \(\:0.000038\) |
\(\:3.4\) | \(\:1.023540\) | \(\:1.024340\) | \(\:3.02\times\:{10}^{-6}\) | \(\:0.000020\) |
\(\:3.5\) | \(\:1.021940\) | \(\:1.022920\) | \(\:1.38\times\:{10}^{-6}\) | \(\:0.000010\) |
\(\:3.6\) | \(\:1.020340\) | \(\:1.021410\) | \(\:6.05\times\:{10}^{-7}\) | \(\:5.02\times\:{10}^{-6}\) |
\(\:3.7\) | \(\:1.018740\) | \(\:1.019840\) | \(\:2.40\times\:{10}^{-7}\) | \(\:2.44\times\:{10}^{-6}\) |
\(\:3.8\) | \(\:1.017140\) | \(\:1.018240\) | \(\:7.46\times\:{10}^{-8}\) | \(\:1.18\times\:{10}^{-6}\) |
\(\:3.9\) | \(\:1.015570\) | \(\:1.016620\) | \(\:8.2\times\:{10}^{-10}\) | \(\:5.74\times\:{10}^{-7}\) |
\(\:4.0\) | \(\:1.014020\) | \(\:1.015010\) | \(\:0\) | \(\:0\) |
\(\:4.1\) | \(\:1.012490\) | \(\:1.013400\) | --- | --- |
\(\:4.2\) | \(\:1.011000\) | \(\:1.011840\) | --- | --- |
\(\:4.3\) | \(\:1.009530\) | \(\:1.010240\) | --- | --- |
\(\:4.4\) | \(\:1.008090\) | \(\:1.008700\) | --- | --- |
\(\:4.5\) | \(\:1.006670\) | \(\:1.007180\) | --- | --- |
\(\:4.6\) | \(\:1.005290\) | \(\:1.005690\) | --- | --- |
\(\:4.7\) | \(\:1.003939\) | \(\:1.004230\) | --- | --- |
\(\:4.8\) | \(\:1.002590\) | \(\:1.002790\) | --- | --- |
\(\:4.9\) | \(\:1.001280\) | \(\:1.001380\) | --- | --- |
\(\:5.0\) | \(\:1.000000\) | \(\:1.000000\) | --- | --- |