A Linear Stability Analysis of Thermal Convection in a Fluid Layer with Simultaneous Rotation and Magnetic Field Acting in Different Directions

Table 9

Thermal instability analysis in the presence of a magnetic field when both bounding surfaces are free: gravity vector and magnetic field vector acting in different directions. Rayleigh numbers for the dimensionless parameter 𝑄 = 100, and for various values of 𝑎 and 𝐶_𝐻. 𝑅 is the Rayleigh number obtained by the Tau Chebyshev method. 𝑅_Ch is the Rayleigh number obtained by Chandrasekhar [1].

𝐶𝐻	𝑎	𝑅	𝐶𝐻	𝑎	𝑅
0.0	3.702	2653.70	—	—	—
0.5	3.6	2679.49	2.0	3.6	3028.72
	3.7	2676.17		3.8	3017.01
	3.8	2678.55		3.9	3020.24
1.0	3.6	2748.31	4.0	3.6	4226.99
	3.7	2743.9		4.1	4151.21
	3.8	2745.3		4.2	4157.48