**Dianchen Lu 1, Muhammad Ramzan 2,3,\*, Mutaz Mohammad 4,\*, Fares Howari <sup>5</sup> and Jae Dong Chung <sup>3</sup>**


Received: 30 March 2019; Accepted: 24 April 2019; Published: 1 May 2019

**Abstract:** This study aims to scrutinize the thin film flow of a nanofluid comprising of carbon nanotubes (CNTs), single and multi-walled i.e., (SWCNTs and MWCNTs), with Cattaneo-Christov heat flux and entropy generation. The time-dependent flow is supported by thermal radiation, variable source/sink, and magneto hydrodynamics past a linearly stretched surface. The obtained system of equations is addressed by the numerical approach bvp4c of the MATLAB software. The presented results are validated by comparing them to an already conducted study and an excellent synchronization in both results is achieved. The repercussions of the arising parameters on the involved profiles are portrayed via graphical illustrations and numerically erected tables. It is seen that the axial velocity decreases as the value of film thickness parameter increases. It is further noticed that for both types of CNTs, the velocity and temperature distributions increase as the solid volume fraction escalates.

**Keywords:** thin liquid film flow; carbon nanotubes; Cattaneo-Christov heat flux; variable heat source/sink; entropy generation
