Temperature distribution assessment over a plate is a fundamental aspect of engineering and scientific research with wide-ranging applications. Understanding how heat propagates through a solid plate is crucial in numerous industries, including aerospace, electronics, materials science, and energy systems. This assessment allows engineers and researchers to optimize designs, enhance performance, and ensure the safety and efficiency of various devices and structures. There are numerous situations where heat is to be transferred between a fluid and a surface. In such cases, the heat flow depends on three factors namely (i) area of the surface (ii) Temperature difference and (iii) the convective heat transfer coefficient. The base surface area is limited by design of the system. The temperature difference depends on the process and cannot be altered. The only choice appears to be the convection heat transfer coefficient and this cannot be increased beyond a certain value.