Continuous casting mold, continuous casting device, and continuous casting method

A continuous casting mold for continuously casting a casting billet while cooling molten metal by a cooling device provided at a cooling casting mold, wherein

• the cooling device includes multiple cooling nozzles configured to release coolant water to the casting billet pulled out of the cooling casting mold to cool the casting billet,
• multiple ejection ports of the multiple cooling nozzles are arranged along an outer circumferential direction of a surface of the casting billet, and
• each ejection port has a short side and a long side, a short axis and a long axis, or a long axis and a center line crossing the long axis, is formed in a shape elongated in a long side direction or a long axis direction, and is configured such that the long side or the long axis is arranged along an axial direction of the casting billet, wherein each ejection port of the cooling nozzles is formed in a rectangular shape, a distance L1 until completion of solidification after a start of solidification of an ingot forming the casting billet cooled with the coolant water released from each ejection port is set to satisfy Expression (1) below, and a length β of the long side of each ejection port is set to satisfy Expression (2) below:
• L
• ⁢
• 1
• =
• (
• D
• 2
• -
• δ
• )
• tan
• ⁢
• ψ
• [
• Expression
• ⁢
• ⁢
• 1
• ]
• [Expression 2] β≥L1×sin φ where in Expressions (1) and (2), L1 represents the distance (mm) until completion of solidification after the start of solidification of the ingot, D represents a diameter (mm) of the casting billet, δ represents a thickness (mm) of a solidified shell layer of the casting billet, ψ represents a solidification angle (degrees) of a boundary between the molten metal and the solidified ingot with respect to a center line of the casting billet, β represents the length (mm) of the long side of each ejection port, and φ represents an angle (degrees) between a surface of each cooling nozzle perpendicular to a casting direction and an inclined surface.