Photograph acoustic marvel is helpful to foster advances for spectroscopic, minute and envisioning applications. Of late, it has acquired more extensive importance in biomedical designing. Photograph acoustic spectroscopy has been perceived as a successful and cheap strategy for estimation of centralization of vaporous mixtures. Affectability of full photograph acoustic cell, which is characterized as its capacity to produce high abundancy of acoustic pressing factor at the area of amplifier, for a given measure of retained radiation, is a key plan objective of the cell. Different components impact affectability of the photoacoustic cell and its math is the most choosing one. In this work, photoacoustic reaction of barrel shaped thunderous cells is reenacted by addressing Navier-Stokes condition, progression condition, energy condition and the condition of state, utilizing FEM examination. Mathematical outcomes are approved with trial results announced in the writing. To track down the ideal elements of the resounding cell and the cushion cell, Taguchi technique for plan of analyses is applied. Mathematical model with advanced measurements is found to have better affectability.