**ABSTRACT**

This article express the outcomes of mixed convective flow of a chemically reacting Oldroyd-B liquid (OBL) with Cattaneo-Christov double flux (CCDF) under the consequence of second order slip (SS), heat absorption (HA)/heat generation (HG) and Newtonian cooling (NC)/Newtonian heating (NH). The governing PDEs are converted into ODEs using suitable variables. The homotopy analysis method (HAM) is employed to solve these resultant equations. The outcomes of diverse physical parameters, like, relaxation time, retardation time, Richardson number, buoyancy ratio, Prandtl number, radiation, heat absorption/generation, Schmidt number, chemical reaction, suction/injection, slip and Newtonian heating are discussed.

**KEYWORDS**

PAPER SUBMITTED: 2019-10-03

PAPER REVISED: 2020-07-04

PAPER ACCEPTED: 2020-07-12

PUBLISHED ONLINE: 2020-08-08

- Oldroyd, J.G. The formulation of rheological equations of state, Proceedings of the Royal Society of London Series, 200 (1950), pp. 523-541.
- Rajagopal, K.R., Bhatnagar, P.K., Exact solutions for some simple flows of an Oldroyd-B fluid, Acta Mechanica, 113 (1995), pp. 233-239.
- Farooq, A., et al., Soret and Dufour effects on three dimensional Oldroyd-B fluid, Physica A: Statistical Mechanics and its Applications, 503 (2018), pp. 345-354.
- Fetecau, C., et al., On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress, Computers & Mathematics with Applications, 60 (2010), pp. 74-82.
- Liu, Y., et al., Unsteady helical flow of a generalized Oldroyd-B fluid with fractional derivative, International Journal of Mathematics Trends and Technology, 5 (2014), pp. 66-76.
- Jamil M., et al., Unsteady helical flows of Oldroyd-B fluids, Communications in Nonlinear Science and Numerical Simulation, 16 (2011), pp. 1378-1386.
- Motsa, S.S., Ansari, M.S., Unsteady boundary layer flow and heat transfer of Oldroyd-B nanofluid towards a stretching sheet with variable thermal conductivity, Thermal Science, 19 (2015), pp. S239-S248.
- Fourier, J.B.J., Theorie Analytique De La Chaleur, Chez Firmin Didot. Paris. 1822.
- Cattaneo, C., Sulla conduzione del calore. Atti. Semin. Mat. Fis Univ. Modena Reggio Emilia, 3 (1948), pp. 83-101.
- Christov, C.I., On frame indifferent formulation of the Maxwell-Cattaneo model of finite speed heat conduction, Mechanics Research Communications, 36 (2009), pp. 481-486.
- Asmadi, M.S., et al., Finite difference solution of convective flow of upper-convected Maxwell fluid over a horizontal wedge with suction and heat generation using Cattaneo-Christov heat flux model, Thermal Science, 1 (2019), pp 1-13.
- Mustafa, M., An analytical treatment for MHD mixed convection boundary layer flow of Oldroyd-B fluid utilizing non-Fourier heat flux model, International Journal of Heat and Mass Transfer, 113 (2013), pp. 1012-1020.
- Sui, J., et al., Boundary layer heat and mass transfer with CattaneoeChristov double-diffusion in upper-convected Maxwell nanofluid past a stretching sheet with slip velocity, International Journal of Thermal Sciences, 104 (2016), pp. 461-468.
- Dogonchi, A.S., Ganji, D.D., Impact of Cattaneo-Christov heat flux on MHD nanofluid flow and heat transfer between parallel plates considering thermal radiation effect, Journal of the Taiwan Institute of Chemical Engineers, 80 (2017), pp. 52-63.
- Mallawi, F.M., et al., Impact of double-stratification on convective flow of a non-Newtonian liquid in a Riga plate with Cattaneo-Christov double-flux and thermal radiation, Ain Shams Engineering Journal, In Press.
- Khan, S.U., et al., Heat transfer analysis based on Cattaneo-Christov heat flux model and convective boundary conditions for flow over an oscillatory stretching surface, Thermal Science, 23 (2019), pp. 443-455.
- Mehmood, T., et al., Transverse thermopherotic MHD Oldroyd-B fluid with Newtonian heating, Results in Physics, 8 (2018), pp. 686-693.
- Ramzan, M., et al., Three dimensional flow of an Oldroyd-B fluid with Newtonian heating, International Journal of Numerical Methods for Heat & Fluid Flow, 25 (2015), pp. 68-85.
- Patil, P.M., et al., Unsteady thermal radiation mixed convection flow from a moving vertical plate in a parallel free stream: Effect of Newtonian heating, International Journal of Heat and Mass Transfer, 62 (2013), pp. 534-540
- Lesnic, D., et al., Free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating, International Journal of Heat and Mass Transfer, 42 (1999), 4, pp. 2621-2627.
- Zhu, T., et al., Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction, Applied Mathematics and Mechanics (English Edition), 36(9) (2015), pp. 1131-1146.
- Das, K., et al., Effect of magnetic field on Oldroyd-B type nanofluid flow over a permeable stretching surface, Propulsion and Power Research , 7 (2018), pp. 238-246.
- Jagan, K., et al., Soret and Dufour effect on MHD Jeffrey nanofluid flow towards a stretching cylinder with triple stratification, radiation and slip, Defect and Diffusion Forum, 387 (2018), pp. 523-533.
- Kasmani, R.M., et al., Effect of chemical reaction on convective heat transfer of boundary layer flow in nanofluid over a wedge with heat generation/absorption and suction", Journal of Applied Fluid Mechanics, 9 (2016), pp. 379-388.
- Niranjan, H., et al., Chemical reaction, Soret and Dufour effects on MHD mixed convection stagnation point flow with radiation and slip condition, Scientia Iranica. Transaction B, Mechanical Engineering, 24(2) (2017), 698-706.
- Eswaramoorthi, S., et al., Soret and Dufour effects on viscoelastic boundary layer flow, heat and mass transfer in a stretching surface with convective boundary condition in the presence of radiation and chemical reaction, Scientia Iranica. Transaction B, Mechanical Engineering, 23(6) (2016), pp. 2575-2586.
- Sivasankaran, S., et al., Chemical reaction, radiation and slip effects on MHD mixed convection stagnation-point flow in a porous medium with convective boundary condition, International Journal of Numerical Methods for Heat & Fluid Flow, 27(2) (2017), pp. 454-470
- Bhuvaneswari, M., et al., Effect of viscous dissipation and convective heating on convection flow of a second grade fluid over a stretching surface: Analytical and numerical study, Scientia Iranica. Transaction B, Mechanical Engineering, 26(3) (2019), pp. 1350-1357.
- Abel, M.S., et al., MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet, Meccanica, 47 (2012), pp. 385-393.
- Waqas, M., et al., Stratified flow of an Oldroyd-B nanoliquid with heat generation, Results in Physics, 7 (2017), pp. 2489-2496.