Circular Cross-section
Circular Cross-section - Related Videos
10:55
Procedure for the Development of Multi-depth Circular Cross-sectional Endothelialized Microchannels-on-a-chip
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Cited by 5 •
2013
A microchannels-on-a-chip platform was developed by the combination of photolithographic reflowable photoresist technique, soft lithography, and microfluidics. The endothelialized microchannels platform mimics the three-dimensional (3D) geometry of in vivo microvessels, runs under controlled continuous perfusion flow, allows for high-quality and real-time imaging and can be applied for microvascular research.
08:39
Quantification of Circular RNAs Using Digital Droplet PCR
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Cited by 8 •
2022
This protocol describes the detailed method of digital droplet PCR (dd-PCR) for precise quantification of circular RNA (circRNA) levels in cells using divergent primers.
08:45
Genetic Crosses
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2023
To dissect genetic processes or create organisms with novel suites of traits, scientists can perform genetic crosses, or the purposeful mating of two organisms. The recombination of parental genetic material in the offspring allows researchers to deduce the functions, interactions, and locations of genes. This video will examine how genetic crosses were influential in developing Mendel's three laws of inheritance, which form the basis of our understanding of genetics. One genetic crossing...
01:26
Circular Flow: Two Sector
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2025
An economy runs on the continuous movement of money, goods, and services between households and firms. The two-sector circular flow model focuses only on households and firms. It leaves out things like government, foreign trade, or banking to help us see the basic interactions more clearly. Households include individuals or families who earn income and use it to buy things they need. Firms are businesses that produce those goods and services using household resources. This creates a cycle where...
01:10
Deformation in a Circular Shaft
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2024
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
FAQs
The radius is the controlling geometric variable because area scales with r², not r alone. Doubling the radius therefore produces four times the circular area, while halving it reduces area to one quarter. This nonlinear relationship makes small dimensional changes important when estimating how much space is available for fluid, cells, or engineered material within a tubular design.
Diameter changes are especially consequential because diameter sets radius, and area responds to radius squared. A modest change in diameter can therefore produce a larger proportional change in the region available for fluid, cells, or engineered material. This scaling helps explain why dimensional control matters when evaluating transport and performance in tubular bioengineering structures.
Area and perimeter serve different analytical purposes in a circular cross-section. Area describes the size of the region, whereas perimeter describes its boundary length. Considering both helps connect geometry with transport, wall-stress estimates, and diffusion distances. This distinction prevents an analysis from treating every geometric effect as a simple area calculation.
To analyze a circular cross-section, begin by obtaining the radius or diameter of the structure. If diameter is measured, convert it to radius by dividing by two, then apply A = πr². The resulting area can support estimates of flow capacity, transport space, or device performance in a vessel model, channel, needle, catheter, or scaffold.
Applications include blood-vessel models, needles, catheters, tubular scaffolds, and microfluidic channels. In each case, the profile supplies a geometric basis for evaluating how much area is available and how dimensional changes may affect operation. Using the same relationship across these systems helps researchers compare designs and identify whether a proposed geometry supports its intended function.
The analysis can provide quantitative estimates of flow capacity, wall stresses, diffusion distances, and overall device performance. These outcomes connect a measured or designed geometry to functional behavior without requiring the geometry to be treated as an abstract shape. For bioengineering studies, that connection supports interpretation of vessel models and optimization of tubular or channel-based devices.