AbstractIn this note, we extend the problem treated in (Lok, Math Modelling Anal 24:617–634 (2019)) to the case of permeable surface which is shrinking in mutually orthogonal directions. Both numerical and asymptotic solutions are obtained for two important governing parameters, $$\gamma $$
γ
the shrinking rate and S characterizing the fluid transfer through the boundary. In this problem, a restriction on S is required for a solution to exist.
This contrasts with the problem in (Lok, Math Modelling Anal 24:617–634 (2019)) where no restriction on S is needed. Numerical solutions show that for a fixed value of S, two critical points $$\gamma _c$$
γ
c
are observed for $$S > 2$$
S
>
2
. Conversely, two critical points $$S_c$$
S
c
are found for a given value of $$\gamma $$
γ
when $$S > 2$$
S
>
2
. A discussion on the nonexistence of solution for $$S = 2$$
S
=
2
is given and asymptotic solutions for S large and $$(S-2)$$
(
S
-
2
)
small are also presented.
Thermal energy performance of nanofluid flow and heat transfer based upon KKL correlation in a rotating vertical channel with permeable surface
