A theoretical analysis for magnetohydrodynamic (MHD) mixed convection of nonNewtonian tangent hyperbolic nanofluid flow with suspension dust particles along a
vertical stretching sheet is carried out. The current model comprises of non-linear
partial differential equations expressing conservation of total mass, momentum, and
thermal energy for two-phase tangent hyperbolic nanofluid phase and dust particle
phase. Primitive similarity formulation is given to mutate the dimensional boundary
layer flow field equations into a proper nonlinear ordinary differential system then
Runge-Kutta-Fehlberg method (RKF45 method) is applied. Distinct pertinent parameter
impact on the fluid or particle velocity, temperature, concentration, and skin friction
coefficient is illustrated. Analysis of the obtained computations shows that the flow field
is affected appreciably by the existence of suspension dust particles. It is concluded
that an increment in the mass concentration of dust particles leads to depreciate the
velocity distributions of the nanofluid and dust phases. The numerical computations
has been validated with earlier published contributions for a special cases.