Aim of study
Hence, the current computational study examines a TiO2−C2H6O2TiO2-C2H6O2<math><mrow><mi>T</mi> <mi>i</mi> <msub><mi>O</mi> <mn>2</mn></msub> <mo>-</mo> <msub><mi>C</mi> <mn>2</mn></msub> <msub><mi>H</mi> <mn>6</mn></msub> <msub><mi>O</mi> <mn>2</mn></msub> </mrow> </math> nanofluid's unsteady stagnation-point flow performance via a shrinking horizontal cylinder. In addition, the effects of a magnetic field, joule-heating viscous dissipation, nanoparticles aggregation and mass suction on the boundary layer flow are reflected. Method: ology: The RK-IV with shooting method is applied to resolve the simplified mathematical model numerically in computing software MATHEMATICA. In certain circumstances, comparing the current and prior findings indicates good agreement with a relative error of around 0%. Findings: The implementation of a heat transfer operation may be improved by increasing suction settings. Unsteadiness, nanoparticle volume fraction, magnetic, curvature, and Eckert number (implies the operating Joule heating and viscous dissipation) all influence heat transfer rate. The velocity and temperature profiles both increase as the unsteadiness, magnetic field, and nanoparticle volume fraction parameters increase, whereas the curvature and suction parameters show the opposite behavior. When the values of the suction parameters were changed from 2.0 to 2.5 with φφ<math><mrow><mi>φ</mi></mrow> </math> = 0.01, the heat transfer rates rose by 4.751%. A comparison shows that the model with aggregation has a better velocity profile, while the model without aggregation has a better temperature profile.