Impacts of electric field quality on MHD Carreau AA7075 – water nanofluid flow

Figures & data

Figure 1. Physical configuration of AA7075 – water nanofluid system.

Table 1. Thermophysical resources of the fluid and nanoparticles.

	$\rho \left(kg/m^3\right)$	$c_p\left(J/kgK\right)$	$k\left(W/mK\right)$	$\sigma \left({\mathrm{\Omega }}^{-1}{m}^{-1}\right)$
Pure water	997.1	4179	0.613	5.5
AA7075	2810	173	26.77	1.67

Figure 2. Comparison of temperature profiles with Figure 7 of Mair Khan et al. [22].

Figure 3. Magnetic effects on temperature profiles with different electric fields.

Figure 4. Thermal radiation effects on temperature profiles with different electric fields.

Table 2. Comparison of rate of heat transfer, $-{\theta }^{\mathrm{\prime }}\left(0\right)$ with different Pr.

Pr	Mabood et al. [23]	Mair Khan et al. [22]	Present result	Absolute Error
0.07	0.0665	0.0645	0.0656752	0.001752
0.70	0.4539	0.4554	0.4559876	0.000587
7.00	1.8954	1.8929	1.8928759	0.000241
70.0	6.4622	6.4598	6.4597568	0.000043

Figure 5. Wall thickness strength on temperature profiles with different electric fields.

Figure 6. Thermophoresis impacts on temperature profiles with different electric fields.

Figure 7. Brownian motion impacts on temperature profiles with different electric fields.

Figure 8. Chemical reaction on temperature profiles with different electric fields.

Figure 9. Heat generation on temperature profiles with different electric fields.

Figure 10. Nanoparticle volume part on temperature and focus profiles with various electric fields.

Figure 11. Streamline diagrams on warmth and mass exchange on electric field quality.

Table 3. Nanoparticle volume fraction on rate of heat and mass transfer with different electric fields.

	E1 = 0.0		E1 = 0.2		E1 = 10.0
Parameter $\zeta$	$-{\theta }^{\mathrm{\prime }}\left(0\right)$	$-{\varphi }^{\mathrm{\prime }}\left(0\right)$	$-{\theta }^{\mathrm{\prime }}\left(0\right)$	$-{\varphi }^{\mathrm{\prime }}\left(0\right)$	$-{\theta }^{\mathrm{\prime }}\left(0\right)$	$-{\varphi }^{\mathrm{\prime }}\left(0\right)$	Shape
0.05	1.5871613	−0.2829479	2.5306880	−0.4964766	2.6140617	−0.499265	Sphere
0.10	1.4392868	−0.1378604	1.4476278	−0.1436898	2.4181983	−0.344222
0.15	1.3013622	−7.6882357	1.3090906	−0.0062524	1.4356880	+0.067533
0.05	1.5026202	−0.2014143	1.5119666	−0.2078627	2.5226039	−0.415758	Cylinder
0.10	1.3029784	+0.0062235	1.3111216	−0.0119935	2.2635803	−0.205164
0.15	1.1378469	+0.1577357	1.1450049	0.1526283	1.2722852	+0.225293
0.05	1.3262136	−0.0311977	1.3353446	−0.037617	2.3218919	0.234462	Lamina
.10	1.0738635	0.2161057	1.0810001	0.2110476	1.9762471	0.0475261
0.15	0.9122238	0.3784736	0.9148920	0.3766733	1.0402719	0.4513403

Khan M, Malik MY, Salahuddin T. Heat generation and solar effects on Carreau nanofluid over a stretching sheet with variable thickness: using coefficients improved by cash and crap. Results Phys. 2017;7:2512–2519. doi: 10.1016/j.rinp.2017.06.048

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Mabood F, Khan WA, Ismail AIM. MHD boundary layer flow and heat transfer of nanofluid over a nonlinear stretching sheet: a numerical study. J Magn Magn Mater. 2015;374:569–576. doi: 10.1016/j.jmmm.2014.09.013

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