Development in electronic equipment comes with a serious challenge to provide efficient thermal management solutions due to increased data processing requirements and miniaturization. The aim of this study is to examine the hydrothermal performance of a green synthesized silver-water nanofluid in a microchannel heat sink (MCHS) for the cooling of a computer processor. In this work, AgNPs were produced by a simple and eco-friendly green synthesis method using vernonia amygdalina (commonly called bitter leaf). Optimization of process variables (factors) in the goal of higher AgNPs yield is performed using response surface methodology (RSM) with Box-Behnken design (BBD). The Numerical optimization result demonstrated that the highest yield is attained at 15mM, 5.96%, 8.97, and 3.68h for AgNO3 concentration, V. amygdalina extract concentration, PH of extract, and reaction time, respectively. Optimized silver nanoparticles were further characterized by Uv -visible spectra showed specific surface Plasmon resonance absorption peak at 422 nm, which confirmed the presence of nanoparticles. Other characterizations of nanoparticles such as FTIR XRD, DLS, and TGA were used. The result revealed that the AgNPs is highly crystalline and exhibits a cubic face centered lattice with a mean particle size of 63 nm. The silver-water nanofluid for the experiment was prepared by two step method with ultrasonication process in order to improve the stability of the prepared nanofluid. The fundamental thermophysical properties were studied by experimental measurement and theoretical correlations, additionally, the stability of the nanofluid was studied. The result showed an increase in density, viscosity, and thermal conductivity with an increased volume concentration of the nanofluid whereas the specific heat and stability time decrease with concentration.