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Everything about Paraboloid
Quadric surface with one axis of symmetry and no center of symmetry
In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: ParaboloidA 5-minute orientation
- Skim a recent paper: Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surfaceInfluential work since 2022
- Pick up a classic book: Development of a three-dimensional turbulent duct flow analysisThe most-reprinted book on the subject
- Read the landmark paper: Thermophoresis and Brownian motion effects on MHD bioconvection of nanofluid with nonlinear thermal radiation and quartic chemical reaction past an upper horizontal surface of a paraboloid of revolutionCited 312 times
- Go sideways: Circular sectionA closely related topic
- Go sideways: HyperboloidA closely related topic
📖 Definitions
Noun Short for elliptic paraboloid
Noun Short for hyperbolic paraboloid
🏆 Landmark papers (most cited)
Thermophoresis and Brownian motion effects on MHD bioconvection of nanofluid with nonlinear thermal radiation and quartic chemical reaction past an upper horizontal surface of a paraboloid of revolution
Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution
Lateral-feed displacement in a paraboloid
Design Parameters of Paraboloid-Hyperboloid Telescopes for X-ray Astronomy
Design and feasibility study of novel paraboloid graphite based microbial fuel cell for bioelectrogenesis and pharmaceutical wastewater treatment
Buoyancy induced model for the flow of 36 nm alumina-water nanofluid along upper horizontal surface of a paraboloid of revolution with variable thermal conductivity and viscosity
Accurate noninvasive quantitation of blood flow, cross-sectional lumen vessel area and wall shear stress by three-dimensional paraboloid modeling of magnetic resonance imaging velocity data
Numerical modeling and analysis of bioconvection on MHD flow due to an upper paraboloid surface of revolution
🆕 Influential since 2022
Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface
Numerical experiment to examine activation energy and bi-convection Carreau nanofluid flow on an upper paraboloid porous surface: Application in solar energy
Biconvective transport of magnetized couple stress fluid over a radiative paraboloid of revolution
Physical attributes of bio-convection in nanofluid flow through a paraboloid of revolution on horizontal surface with motile microorganisms
Investigating the radiative heat transfer analysis of magnetized Cross fluid flow capturing variable properties around paraboloid surface using artificial intelligence stochastic approach
📚 Books worth reading
- 📕Development of a three-dimensional turbulent duct flow analysisUnited States. National Aeronautics and Space Administration. Scientific and Technical Information Office. · 1978
- 📕Ausbreitung des Cisterzienser-Ordens und dessen Einfluss auf die Kulturverhältnisse in BöhmenBernard Scheinpflug · 1864
- 📕User's manual for semi-circular compact range reflector codeInder J. Gupta · 1987
- 📕Development of a three-dimensional turbulent duct flow analysisUnited States. National Aeronautics and Space Administration. Scientific and Technical Information Office · 1978
- 📕Zur Theorie und Berechnung von Schalentragwerken in Form gleichseitiger hyperbolischer ParaboloideWerner Bongard · 1959
- 📕Die Krümmungsmittelpunktsfläche des elliptischen ParaboloidsFerdinand Caspary · 1875
- 📕Ueber die Bewegung eines Punktes auf einem Rotationsparaboloid ...Wilhelm Merle · 1882
- 📕Zur Scheitelpunktsbestimmung des Paraboloids ..Friedrich Kossow · 1903
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Circular section In geometry, a circular section is a circle on a quadric surface (such as an ellipsoid or hyperboloid). It is a special plane section of the quadric, as…
- Hyperboloid In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal…
- Parabola In mathematics, a parabola (/pəˈræbələ/ pə-RA-bə-lə) is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially…
- Parabolic reflector A parabolic reflector is a reflective surface used to collect or project energy such as light, sound, or radio waves. Its shape is part of a circular paraboloid…
- Confocal conic sections In geometry, two conic sections are called confocal if they have the same foci. Because ellipses and hyperbolas have two foci, there are confocal ellipses…
- Hyperbola In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations…
- Conic section A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola…
- Cylinder A cylinder (from Ancient Greek κύλινδρος (kúlindros) 'roller, tumbler') has traditionally been a three-dimensional solid, one of the most basic of curvilinear…