Electromagnetic natural convection flow in a vertical microchannel with Joule heating: exact solution

Figures & data

Figure 1. Schematic diagram of the problem.

Figure 2. Velocity profile for different values of Kn and K at M = 2.0, ζ = 0.5, Br = 1.0.

Figure 3. Velocity profile for different values of M and K at Kn = 0.05, ζ = 0.5, Br = 1.0.

Table 1. Numerical comparison of the present dimensionless velocity for different flow regimes with those of Jha et al. [12] at M=0.

Y	Kn	Jha et al. [12]	Present work (K→0)
0.0	0.0	0.0000	0.0000
	0.05	0.0048	0.0048
	0.1	0.0083	0.0082
0.1	0.0	0.1096	0.0096
	0.05	0.0127	0.0127
	0.1	0.0151	0.0150
0.2	0.0	0.0160	0.0160
	0.05	0.0182	0.0181
	0.1	0.0197	0.0196
0.3	0.0	0.0204	0.0204
	0.05	0.0219	0.0219
	0.1	0.0232	0.0230
0.4	0.0	0.0233	0.0233
	0.05	0.0245	0.0245
	0.1	0.0255	0.0253
0.5	0.0	0.0251	0.0251
	0.05	0.0261	0.0261
	0.1	0.0270	0.0269
0.6	0.0	0.0256	0.0256
	0.05	0.0268	0.0267
	0.1	0.0277	0.0277
0.7	0.0	0.0245	0.0245
	0.05	0.0261	0.0261
	0.1	0.0273	0.0272
0.8	0.0	0.0210	0.0210
	0.05	0.0235	0.0234
	0.1	0.0252	0.0251
0.9	0.0	0.0136	0.0136
	0.05	0.0178	0.0177
	0.1	0.0206	0.0205
1.0	0.0	0.0000	0.0000
	0.05	0.0071	0.0070
	0.1	0.0117	0.0117

Figure 4. Temperature profile for different values of ζ and Kn at M = 2.0, K = 0.5, Br = 1.0.

Figure 5. Temperature profile for different values of K and M at Kn = 0.05, ζ = 0.5, Br = 1.0.

Figure 6. Skin-friction for different values of K and Kn at ζ = 0.5, Br = 1 (Y = 0).

Figure 7. Skin-friction for different values of ζ and Br at Kn = 0.05, K = 0.5 (Y = 1).

Figure 8. Nusselt number for different values of Kn and K at ζ = 0.5, Br = 1.0.

Figure 9. Nusselt number for different values of Br and ζ at K = 0.5, Kn = 0.05.

Jha BK, Aina B, Ajiya AT. MHD natural convection flow in a vertical parallel plate microchannel. Ain Shams Eng J. 2014. https://doi.org/10.1016/j.asej.2014.09.012.

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