Abstract
We used non-Fourier's approach to model the heat transfer equations in magneto-hydrodynamic Maxwell nanofluid flow due to vertical stretching sheet under the influence of buoyancy force. The impact of uniform transverse magnetic field is also considered. This problem is analyzed with two heating processes: constant wall temperature (CWT) and prescribed surface temperature (PST). The heat and mass transport features are explored by implementing the modified Fourier's and Fick's laws.The governing equations are transformed into ordinary differential equations (ODEs) through appropriate similarity transformations. The resulting equations are solved numerically using the bvp4c program in MATLAB. The impact of physical parameter on the velocity, thermal, and solutal distributions is discussed in detail and presented graphically for aiding the flow. In this study, the velocity boosts unsteadiness parameter and thermal buoyancy parameter. Both velocity and temperature behave in opposite ways when affected by a magnetic field. Moreover, the building strength of the thermal relaxation time parameter does not escalate the thermal transport.