SCALING LAWS || MODULE 3 || KTU MEMS || MEMS KTU || LECTURE 17

Hi all. Today we are starting third module. In third module, we are going to learn about scaling laws. When we make something small, what are the laws related to scaling. What are the rules and things related to scaling. What are the changes when we scale down one by one. Scaling in Geometry, Scaling in Rigid Body Dynamics, Tremor Force Scaling Vector, Scaling in Electrostatic and Electromagnetic Forces, Scaling in Electricity, Scaling in Fluid Dynamics, Scaling in Heat Conducting and Heat Convention. These are the factors or physical factors related to scaling. These are the things we are going to discuss in this third module. All the physical systems of machines are being miniaturized. Because our market demands intelligent, robust, multifunctional, low cost consumer products. One solution to make such a consumer product is to package many components into that product. In that case, it is necessary to miniaturize each individual component. Miniaturizing a physical system does not mean making it small. When we make it small, we have to make many of its features favorable. So, scaling laws thus become the very first thing that any engineer would do in the design of MEMS and Microsystem. So, that is the relevance of scaling laws. That is the most important thing that engineers who design MEMS and Microsystem have understood. Mainly, there are two types of scaling laws. Scaling in Geometry and Scaling of Phenomenological Behavior. Scaling in Geometry depends on the size of physical objects. Behavior of objects are governed by the laws of physics. For example, Scaling of Rigid Body Dynamics, Electrostatic and Electromagnetic Forces. We will study these in detail later. Second one is Scaling of Phenomenological Behavior. It involves scaling of both size and material properties of the system. It deals with Thermofluidics. First, let us see Scaling in Geometry. In Microdevice Design, we use two physical quantities. Surface and Volume. Volume is related to mass and weight of a device. It is related to both Mechanical and Thermal Inertia. Volume is related to mass and weight of a device. It is related to both Mechanical and Thermal Inertia. Thermal Inertia is related to heat capacity of a solid. It is a measure of how fast we can heat or cool a solid. Thermal Inertia is the heat capacity of a solid. Surface is related to pressure and buoyant forces in fluid mechanics. As well as heat absorption or dissipation by a solid in convective heat transfer. Surface is related to pressure and buoyant forces in fluid mechanics. heat transfer. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume and surface of the particular device. When the physical quantity is to be miniaturized, the design engineer must weigh the magnitude of possible consequences from the reduction on both volume So, first area divided by volume, S by V is equal to 10 raised to minus 4, the mass of the elephant is very large compared to a dragonfly. So, S by V ratio is equal to 10 raised to minus 4, 4 per millimeter in the case of an elephant. At the same time, S by V ratio is equal to 10 raised to minus 1 per millimeter in the case of a dragonfly. So, with this S by V ratio, we can say an elephant can never fly as easily as a dragonfly. Because, S by V ratio is equal to 10 raised to minus 4. That means, the mass of the elephant is very large. Also, the buoyant force is very less in the case of an elephant. What is buoyant force? Buoyant force is the force that causes the object to float. Buoyant force is less and mass is more in the case of an elephant. At the same time, in the case of a dragonfly, S by V ratio is equal to 10 raised to minus 1. So, we can say an elephant can never fly as easily as a dragonfly. I hope everyone understood today's topic. In the next lecture, we will discuss scaling in rigid body dynamics and tremor force scaling vector. See you in the next lecture. Thank you.