Background: In this paper, transient two-dimensional laminar boundary layer viscous incompressible
free convective flow of water based nanofluid with carbon nanotubes (CNTs) past a
moving vertical cylinder with variable surface temperature is studied numerically in the presence of
thermal radiation and heat generation.
Methods: The prevailing partial differential equations which model the flow with initial and boundary
conditions are solved by implicit finite difference method of Crank Nicolson type, which is unconditionally
stable and convergent.
Results: Influence of Grashof number (Gr), nanoparticle volume fraction (φ), heat generation parameter
(Q), temperature exponent (m), radiation parameter (N) and time (t) on velocity and temperature
profiles are sketched graphically and elaborated comprehensively.
Conclusion: Analysis of Nusselt number and Skin friction coefficient is also discussed numerically
for both single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs).