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Plasma spraying is a process used to coat the surface of a material with a protective layer to prevent material degradation. In a plasma spray process, the protective coating in powder form is injected into a plasma jet. The powder is then heated until the droplets coalesce and are propelled over the surface of the material. Once deposited on the surface of the material, the molten droplets solidify and form a protective coating layer. Consider a plasma spray process using alumina (k = 30 W/m K, ρ = 3970 kg/m³ and cp = 800 J/kg K) powder that is injected into a plasma jet at T∞ = 15,000 ° C and h = 10,000 W/m²·K. Alumina powder is made up of spherical-shaped particles with a mean diameter of 60 μm and a melting point of 2300 °C. Solving, the amount of time it would take for the particles, with an initial temperature of 20 °C, to reach their melting point from the time they are injected into the plasma jet is 5,25x10 -4 s. The mathematical resolution is in the image. I only need the textual solution with fundamental concepts of how the heat flow behaves in the system.

Plasma spraying is a process used to coat the surface of a material with a protective layer to prevent material degradation. In a plasma spray process, the protective coating in powder form is injected into a plasma jet. The powder is then heated until the droplets coalesce and are propelled over the surface of the material. Once deposited on the surface of the material, the molten droplets solidify and form a protective coating layer. Consider a plasma spray process using alumina (k = 30 W/m K, ρ = 3970 kg/m³ and cp = 800 J/kg K) powder that is injected into a plasma jet at T∞ = 15,000 ° C and h = 10,000 W/m²·K. Alumina powder is made up of spherical-shaped particles with a mean diameter of 60 μm and a melting point of 2300 °C. Solving, the amount of time it would take for the particles, with an initial temperature of 20 °C, to reach their melting point from the time they are injected into the plasma jet is 5,25x10 -4 s. The mathematical resolution is in the image. I only need the textual solution with fundamental concepts of how the heat flow behaves in the system.

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Plasma spraying is a process used to coat the surface of a material with a protective layer to prevent material degradation. In a plasma spray process, the protective coating in powder form is injected into a plasma jet. The powder is then heated until the droplets coalesce and are propelled over the surface of the material. Once deposited on the surface of the material, the molten droplets solidify and form a protective coating layer. Consider a plasma spray process using alumina (k = 30 W/m K, ρ = 3970 kg/m³ and cp = 800 J/kg K) powder that is injected into a plasma jet at T∞ = 15,000 ° C and h = 10,000 W/m²·K. Alumina powder is made up of spherical-shaped particles with a mean diameter of 60 μm and a melting point of 2300 °C.
Solving, the amount of time it would take for the particles, with an initial temperature of 20 °C, to reach their melting point from the time they are injected into the plasma jet is 5,25x10 -4 s.

The mathematical resolution is in the image. I only need the textual solution with fundamental concepts of how the heat flow behaves in the system.

Lc Bi = T= = P V A D hLc k 6 = 1*10 P t-rln = 3.176 10 50 TD³/6 TD2 60 × 10–6 6 10000*1*10-5 30 -0.0033 << 0.1 pc₂V pcpLc h 3970*800* 1 * 10-5 10000 5 S Tf - Too Ti-To --3.17610-3 * 2300 15000 20 - 15000 5.24 10¹ s 0.5 ms
Transcribed Image Text:Lc Bi = T= = P V A D hLc k 6 = 1*10 P t-rln = 3.176 10 50 TD³/6 TD2 60 × 10–6 6 10000*1*10-5 30 -0.0033 << 0.1 pc₂V pcpLc h 3970*800* 1 * 10-5 10000 5 S Tf - Too Ti-To --3.17610-3 * 2300 15000 20 - 15000 5.24 10¹ s 0.5 ms
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