Block Diagram Representation

Block Diagram Representation is a graphical method for describing a system by arranging functional units as labeled blocks and showing relationships between them. Each block summarizes an operation or subsystem, while arrows indicate the direction of signal, data, energy, or material flow, allowing complex engineering systems to be understood without displaying every internal component. Engineers use block diagrams to model control systems, electronic circuits, communication networks, and industrial processes during analysis and design. By clarifying inputs, outputs, interfaces, and feedback paths, this representation supports system decomposition, performance evaluation, troubleshooting, and communication among multidisciplinary teams.

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JoVE Core - Chemistry

Phase Diagrams

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2020

A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...

Equilibrium and Free-body Diagrams

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2023

Source: Ketron Mitchell-Wynne, PhD, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Equilibrium is a special case in mechanics that is very important in everyday life. It occurs when the net force and the net torque on an object or system are both zero. This means that both the linear and angular accelerations are zero. Thus, the object is at rest, or its center of mass is moving at a constant velocity. However, this...

State Space Representation

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2024

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system. Consider an RLC circuit, a...

Control Volume and System Representations

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2025

Two key frameworks are employed to analyze mass, energy, and momentum transfer: the control volume approach and the system approach. These frameworks offer different perspectives, depending on whether the focus is on a specific region in space (control volume approach) or a defined mass of fluid (system approach). The control volume approach considers a stationary region in space through which fluid flows. This region is bounded by a control surface. For instance, in the case of water flowing...

Graphical Representation of Inequalities

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2025

The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all points...

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