The current study looks at the heat transfer of a magneto-radiative nanofluid over an
exponentially contracting permeable sheet in the existence of heat generation with numerous
slip boundary constraints. It also looks at the stability and duality of solutions. Here, a waterbased fluid with silver (Ag) nanoparticles is employed. Before being computed by bvp4c in the
Matlab program, the governing nonlinear partial differential equations are converted into
dimensionless nonlinear ODEs via a similarity transformation. Due to the contracting surface
scenario, a dual-nature solution can only be found if a sufficient suction value is used. We may
infer from stability investigation that the first one is stable while the second one is unstable. A
stable solution makes sense with the least positive eigenvalues, but a lower unstable solution
indicates negative eigenvalues. The Nusselt number and the skin-friction factor may be
improved by increases in the silver nanoparticle’s solid volume percentage. The least
eigenvalue converges to zero as the suction and contracting surface parameters reach their
critical values. Nanofluids that are magnetic and radiative can be used to create beautiful and
effective electromagnetic devices, including in the areas of clothing, paper, plastics, food
colorants, cars, cancer therapy, medicines, ceramics, soaps, and paints.
Keywords: Dual solutions, Exponentially contracting surface, Heat generation, Magnetic field, Nanofluid, Porous medium, Stability analysis, Thermal emission.
