Correction to: Effects of variable viscosity and rotation modulation on ferroconvection

Correction to: Journal of Thermal Analysis and Calorimetry https://doi.org/10.1007/s10973-021-10820-4

In the original publication of the article, the nomenclature of Greek symbols, Latin symbols, subscripts and superscripts was incorrectly published. The corrected nomenclature is given in this Correction article. The original article has been corrected.

Nomenclature

Greek Symbols

$\alpha$ :

Thermal expansion coefficient

$\chi$ :

Thermal diffusivity

$\chi_m$ :

Magnetic susceptibility

$\Delta T$ :

Temperature difference

$\delta$ :

Amplitude of modulation

$\delta _{T} ,\delta _{H}$ :

Small positive constants

$\kappa$ :

Thermal conductivity

$\mu$ :

Viscosity of the ferrofluid

$\mu (H,T)$ :

Variable viscosity

$\nabla ^{2}$ :

Two dimensional Laplacain operator $\left( { = \frac{{\partial ^{2} }}{{\partial x^{2} }} + \frac{{\partial ^{2} }}{{\partial z^{2} }}} \right)$

$\omega$ :

Frequency of modulation

$\phi$ :

Magnetic potential

$\psi$ :

Stream function

$\rho$ :

Density of the ferrofluid

$\overrightarrow {{\Omega }}$ :

Speed of rotation

$\varsigma$ :

Vorticity

Latin Symbols

$\hat{k}$ :

Unit vector in the z direction

$\mathcal{A}$ :

Area under the curve

$\overrightarrow {B}$ :

Magnetic induction

$\overrightarrow {g} = (0,0, - g)$ :

Gravitational acceleration (ms⁻²)

$\overrightarrow {H}$ :

Magnetic field

$\overrightarrow {M}$ :

Magneization

$\overrightarrow {q} = (u,0,w)$ :

Velocity vector

$A_{1} (t),A_{2} (t) \ldots A_{7} (t)$ :

Amplitudes of convection

$C_{{{\text{VH}}}}$ :

Specific heat at constant volume and magnetic field (J kg⁻¹ K⁻¹)

d :

Depth of the horizontal plates (m)

$H_{0}$ :

Applied uniform vertical magnetic field

$h_{1} ,h_{2}$ :

Jacobian terms

J :

Jacobian of a matrix

k :

Wave number

$K_{\rm{l}}$ :

Pyromagnetic coefficient

$L$ :

Operator

$M_{0}$ :

Mean value of magnetization at H = H₀ and T = T₀

$M_{1}$ :

Buoyancy magnetization number

$M_{3}$ :

Non-buoyancy magnetization number

Nu:

Nusselt number

$p$ :

Pressure

Pr:

Prandtl number

$R$ :

Rayleigh number

$r(\omega ,t)$ :

Time dependent modulated rotation

$S$ :

Region of interest

$T$ :

Temperature

$t$ :

Time

Ta:

Taylor number

$u,\omega$ :

Components of velocity along x and z directions respectively

$V$ :

Variable viscosity parameter

$W_{{\text{j}}}$ :

Operator (where j = 0, 1, 2)

Subscripts

0:

At reference value

b:

Basic state

c:

Critical

SqW:

Square wave

STW:

Sawtooth wave

SW:

Sinusoidal wave

TW:

Triangular wave