Spiral plate heat exchangers are anticipated to be energy-effective because of their widespread application throughout the petrochemical, pharmaceutical, and food production sectors. Given these constraints, the focus of this study is on optimizing heat exchanger performance. The objective function is to maximize the heat transfer efficiency of a spiral plate heat exchanger. The mathematical formulation of the issue takes into account the plate sizes, plate distances, and plate thicknesses. All are subject to the heat obligations, pressure drop constraints, and technical constraints of such setups. The Tangent search algorithm (TSA) is being researched as a potential new optimization method. The Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and Whale optimization were all investigated for comparison purposes. According to the findings, the TSA produced the most accurate result in the least amount of time.