In the present work, demonstrate the analytical method to analyze the instability phenomenon by using Laplace transform. For the analysis of instability two phase immiscible flow through the homogenous porous media is adopted. Fingering method is used to develop the Burger’s equation. Which is used to obtain the saturation of water by Laplace transform method. The analytical results show that the saturation of water decreases with an increase in injected fluid and time. The obtained analytical results also satisfied and confirmed from the simulated results that shows the saturation of water.
Digital Colour Image processing techniques are used in wide varieties of applications. Our aim is to study the effect of morphological operator on colour images, which is a modern approach to the generalize morphology concept of grayscale or binary image to colour images. This work is mainly focused on effect of transformation of digital image using mathematical morphology. Using this, we are able to extract the information form the image. Mathematical morphology has been chosen to explain how transform images are used to illustrate mathematical set of theoretic operations, such as union, intersection by means of morphological operations like dilation, erosion, opening, closing, thinning, thickening, hit and miss transform and boundary extraction on colour images. These techniques are implemented in MATLAB using image processing algorithms. MATLAB is an excellent tool to accomplish these tasks.
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