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Temperature , linear solutions to Eqs. (5)–(7) are obtained for and with : (a) for the polar mode with and (b) the equatorial mode with .
Six stable nonlinear equilibria in the form of multiarmed spiral waves, showing temperature viewed from the axis of rotation are obtained for and at . The key characteristics of the waves are given in Table I.
The structure , viewed from , is computed from Eq. (11) with , , and : (a) for and (b) for .
The kinetic energy density , the Nusselt number Nu and the frequency of multiarmed spiral nonlinear waves for and with . The corresponding structure of the waves is depicted in Fig. 2.
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