Bernoulli’s principle states that an increase in the speed of a fluid is directly related to the decrease in the fluid’s potential energy. Many engineers refer to Bernoulli’s equations to calculate the pressure of ...Bernoulli’s principle states that an increase in the speed of a fluid is directly related to the decrease in the fluid’s potential energy. Many engineers refer to Bernoulli’s equations to calculate the pressure of a system. The objective of this undergraduate research endeavor is to illustrate the accuracy of his theory and apply it to one of the most common fluid systems in residential homes, a pump pipe system. The research team consisted of a diverse body of undergraduate students with different educational and cultural backgrounds. Completing this objective further improved every member’s problem solving, communication skills, self-confidence, ability to rationalize and transcribe physical phenomena as well visually express them to rest of the engineering community. The findings of this research showed a relationship between various parameters such as, pipe length, pipe roughness, diameter, and specific gravity of the liquid.展开更多
Air flow in nose and sinuses is studied by means of a simple model based on the steady-state ideal fluid flow assumption and repeated use of Bernoulli’s equation. In particular, by describing flow of air drawn in thr...Air flow in nose and sinuses is studied by means of a simple model based on the steady-state ideal fluid flow assumption and repeated use of Bernoulli’s equation. In particular, by describing flow of air drawn in through the vestibulumnasi during inspiration, we investigate how ventilation of the maxillary sinus is affected by surgical removal of part of the lateral walls of the nasal cavity close to the ostiummeatal complex. We find that, according to the model proposed, removal of tissues from this inner part of the nasal cavity may cause a decrease of the flux rate from the maxillary sinus.展开更多
In this paper, we consider a bound on a general version of the integralinequalities for functions and also study the qualitative behavior of the solutions of certainclasses of the hyperbolic partial delay differential...In this paper, we consider a bound on a general version of the integralinequalities for functions and also study the qualitative behavior of the solutions of certainclasses of the hyperbolic partial delay differential equations under the integral inequalities.展开更多
文摘Bernoulli’s principle states that an increase in the speed of a fluid is directly related to the decrease in the fluid’s potential energy. Many engineers refer to Bernoulli’s equations to calculate the pressure of a system. The objective of this undergraduate research endeavor is to illustrate the accuracy of his theory and apply it to one of the most common fluid systems in residential homes, a pump pipe system. The research team consisted of a diverse body of undergraduate students with different educational and cultural backgrounds. Completing this objective further improved every member’s problem solving, communication skills, self-confidence, ability to rationalize and transcribe physical phenomena as well visually express them to rest of the engineering community. The findings of this research showed a relationship between various parameters such as, pipe length, pipe roughness, diameter, and specific gravity of the liquid.
文摘Air flow in nose and sinuses is studied by means of a simple model based on the steady-state ideal fluid flow assumption and repeated use of Bernoulli’s equation. In particular, by describing flow of air drawn in through the vestibulumnasi during inspiration, we investigate how ventilation of the maxillary sinus is affected by surgical removal of part of the lateral walls of the nasal cavity close to the ostiummeatal complex. We find that, according to the model proposed, removal of tissues from this inner part of the nasal cavity may cause a decrease of the flux rate from the maxillary sinus.
文摘In this paper, we consider a bound on a general version of the integralinequalities for functions and also study the qualitative behavior of the solutions of certainclasses of the hyperbolic partial delay differential equations under the integral inequalities.
