• Dharmendra Singh Tomar

Linear stability analysis of fluid flowing down an inclined rigid and solid surface in presence of interfacial insoluble surfactant. Here, we have three modes like gas-liquid (GL), liquid-liquid and solid-liquid. When the Newtonian and incompressible fluid flows down an inclined rigid surface then we find only single mode that is known as gas-liquid mode. This mode remain stable for low Reynolds number and low wavenumber limit but becomes unstable at higher value of Reynolds number and in finite wave limit. When gas-liquid interface is coated with an insoluble surfactant then GL mode becomes stable even in finite wave range but new mode occurs that is known as surfactant or Marangoni mode. This Marangoni mode remains stable for all the values of Reynolds number for all wave limits. If rigid surface is coated by a deformable solid then gas-liquid mode becomes further more stable in finite wave limit but becomes unstable in short wave limit. Marangoni mode also becomes unstable in presence of soft solid. In methodology, we use Mathematic and MATLAB for producing initial guess values and finally C code is written for generating data in detail.

Stability, gas-liquid (GL) mode, Marangoni mode, Liquid-solid mode (LS), surfactant

"Variation in growth rates of various modes (GL, Marangoni) for different value of deformability parameter and Re.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 11, page no.263-267, November 2018, Available :http://www.jetir.org/papers/JETIRDR06041.pdf

"Variation in growth rates of various modes (GL, Marangoni) for different value of deformability parameter and Re.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 11, page no. pp263-267, November 2018, Available at : http://www.jetir.org/papers/JETIRDR06041.pdf