Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Absorption of Radiation

Absorption of Radiation

The rate of heat transfer by emitted radiation is described by the Stefan-Boltzmann law of radiation:

Trigonometric Substitution

Trigonometric Substitution

Trigonometric substitution is a technique used to simplify integrals that contain square root expressions involving quadratic forms. It is particularly effective when the integrand includes terms resembling those found in standard geometric equations, such as circles or ellipses.Molniya satellites follow highly elliptical orbits, repeatedly sweeping out the same regions of space as they revolve around Earth. To estimate the area enclosed by such an orbit, the path is modeled as an ellipse...

Maxwell-Boltzmann Distribution: Problem Solving

Maxwell-Boltzmann Distribution: Problem Solving

Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by

Radiation Pressure: Problem Solving

Radiation Pressure: Problem Solving

The radiation pressure applied by an electromagnetic wave on a perfectly absorbing surface equals the energy density of the wave. The wave's momentum also gets transferred to the surface when an electromagnetic wave is entirely absorbed by it. The rate at which momentum is transmitted to an absorbing surface perpendicular to the propagation direction equals the force on the surface.
The average value of the rate of momentum transfer divided by the absorbing area represents the average force per...

Theorem of Pappus

Theorem of Pappus

The Theorem of Pappus, also known as the Pappus–Guldinus Theorem, provides a geometric method for determining the volume and surface area of solids generated by the revolution of a plane region or a plane curve about an external axis. The theorem consists of two related statements. The first addresses the volume of solids formed by rotating plane areas, while the second addresses the surface area generated by rotating plane curves. Both results depend on the location of the centroid, which...

Conduction, Convection and Radiation: Problem Solving

Conduction, Convection and Radiation: Problem Solving

There are three methods by which heat transfer can take place: conduction, convection, and radiation. Each method has unique and interesting characteristics, but all three have two things in common: they transfer heat solely because of a temperature difference; and the greater the temperature difference, the faster the heat transfer.
In order to solve a problem related to heat transfer, first of all, the situation needs to be examined to determine the type of heat transfer involved. This could...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Short-term outcome of pregnant women vaccinated with BNT162b2 mRNA COVID-19 vaccine.

Ultrasound in obstetrics & gynecology : the official journal of the International Society of Ultrasound in Obstetrics and Gynecology·2021

Same author

Short communication: Detection of lameness in dairy cows using a grooming device.

Journal of dairy science·2017

Same author

Content words in Hebrew child-directed speech.

Infant behavior & development·2015

Same author

Optimal bandwidth for topographical differential absorption lidar detection.

Applied optics·2010

Same author

Comparison of the Gauss-Seidel spherical polarized radiative transfer code with other radiative transfer codes.

Applied optics·2010

Same author

Multiple-scattering transmission and an effective average photon path length of a plane-parallel beam in a homogeneous medium.

Applied optics·2010

Search research articles

Related Experiment Video

Updated: Jun 8, 2026

Near-Infrared Temperature Measurement Technique for Water Surrounding an Induction-heated Small Magnetic Sphere

Near-Infrared Temperature Measurement Technique for Water Surrounding an Induction-heated Small Magnetic Sphere

Published on: April 30, 2018

Numerical technique for solving the radiative transfer equation for a spherical shell atmosphere.

B M Herman, A Ben-David, K J Thome

|October 2, 2010

Summary

A new numerical method accurately solves radiative transfer in spherical atmospheres. Ignoring spherical effects causes significant errors, especially at high solar zenith angles.

More Related Videos

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames

Published on: June 1, 2016

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Related Experiment Videos

Last Updated: Jun 8, 2026

Near-Infrared Temperature Measurement Technique for Water Surrounding an Induction-heated Small Magnetic Sphere

Near-Infrared Temperature Measurement Technique for Water Surrounding an Induction-heated Small Magnetic Sphere

Published on: April 30, 2018

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames

Published on: June 1, 2016

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Area of Science:

Atmospheric science
Radiative transfer theory
Numerical modeling

Background:

Accurate modeling of radiative transfer is crucial for understanding Earth's climate and atmospheric processes.
Traditional models often simplify atmospheric geometry, potentially limiting accuracy in specific scenarios.

Purpose of the Study:

To present a novel numerical method for solving the radiative transfer equation in a spherical shell atmosphere.
To assess the accuracy of the proposed method and compare it with existing flat-atmosphere models.

Main Methods:

Developed a numerical method incorporating a conical boundary and Gauss-Seidel iteration.
Solved for all orders of scattering along a single radial line.
Validated the model against benchmark cases and compared with flat-atmosphere approximations.

Main Results:

The method achieves better than 1% accuracy for most Earth-atmosphere conditions.
Comparisons reveal that neglecting spherical effects leads to over 5% error at optical depths of 0.10 for solar zenith angles > 85°.

Conclusions:

The proposed numerical method provides a highly accurate solution for radiative transfer in spherical atmospheres.
Spherical effects are significant and cannot be ignored for accurate radiative transfer calculations, particularly under specific solar illumination conditions.