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Magnetohydrodynamic (MHD) time-dependent stagnation point flow and heat transfer characteristics of Casson base nanofluid over porous shrinking/stretching sheet with velocity slip and radiations effects is considered. The Tiwari–Das model is incorporated with silver ( Ag ), gold ( Au ), and iron ( Fe ) nanoparticles. The similarity variables are used to transfer the modeled partial differential equations into the system of ordinary differential equations. The shooting technique through Maple software is used to check the effects of different physical parameters used in equations and boundary conditions. The stability analysis at different values of the used parameters is performed due to existence of duality in the solutions. In the results, the second solution is found unstable while first one is physically reliable and stable. Numerically achieved findings of this problems show the skin friction coefficient is decreasing forand increasing forwhen the suction rate and nanoparticles volume-fraction are increased. The local Nusselt number is higher against the rising suction parameter and lower for the incremented nanoparticles volume fractions for both cases ofComparatively, the thermal conductivity and drag force of  Au -nanoparticles is seen greater than  Ag  and  Fe,  while  Fe  greater than  Ag  in Casson nanofluid flow. The velocity profiles decrease with increase in nanoparticles volume fractions, Casson, suction and velocity slip parameters, while, an increase in unsteady parameter increases velocity profile. Moreover, radiation, nanoparticles volume fractions and magnetic parameters increase the temperature profiles.

Stability analysis and dual solutions of time-dependent stagnation-point heat transport of Casson nanofluid by using Tiwari–Das model