**Muhammad Wakeel Ahmad 1, Luthais B. McCash 2,\*, Zahir Shah 3,\* and Rashid Nawaz <sup>1</sup>**


Received: 1 June 2020; Accepted: 22 June 2020; Published: 28 June 2020

**Abstract:** The second grade nanofluid flow with Cattaneo-Christov heat flux model by a stretching disk is examined in this paper. The nanofluid flow is characterized with Hall current, Brownian motion and thermophoresis influences. Entropy optimization with nonlinear thermal radiation, Joule heating and heat absorption/generation is also presented. The convergence of an analytical approach (HAM) is shown. Variation in the nanofluid flow profiles (velocities, thermal, concentration, total entropy, Bejan number) via influential parameters and number are also presented. Radial velocity, axial velocity and total entropy are enhanced with the Weissenberg number. Axial velocity, tangential velocity and Bejan number are heightened with the Hall parameter. The total entropy profile is enhanced with the Brinkman number, diffusion parameter, magnetic parameter and temperature difference. The Bejan number profile is heightened with the diffusion parameter and temperature difference. Arithmetical values of physical quantities are illustrated in Tables.

**Keywords:** entropy; second grade nanofluid; Cattaneo-Christov heat flux model; nanofluid; nonlinear thermal radiation; Joule heating
