直径和线密度通用关系的研究

通过线密度预测纱线直径的方法是目前最为认可的表述之一,正在广泛使用。这一表述采用1.1为通用比容,而非1.1g/cm~3的纱线密度,提出用另一种相关理论模型计算纱线直径,也提出了纱线细度和长丝直径间关系的理论。线密度表述中,采用了预定的固定比容,因此该方法仅限用于英支支数的棉纱;通用比容模型只可在纤维密度(ρfiber)与纱线密度(ρyarn)一致的情况下使用。有关长丝的理论,采用了预定的密度和线密度(D),直径预测被限用于芳纶长丝和黏胶人造丝中。以上提到的各种理论都可在进一步的研究中用于修正和完善现有理论,旨在减轻目前工作的局限性。因此目前已经对有关常用经验公式进行了修正,以根据纱线密度和支数预测纱线直径;在现有的线密度(D)和直径(μm)关系中,提出可不考虑任何密度和原料的因素。统计关系也经检验和报道,检验分析结果显示了便于正确应用的更细微的细节。

Deduction of universal relationship amongst diameter and linear density

One o f the mo st recognized expression fo rpred icting yarn d iam e te r from lineardensity is in vogue . In this expression apparent specific vo lum e o f 1.1 was considered , no t yarn density o f 1.1 g /cm3 ,while repo rting ano the r expression re lating theo re ticalmode l to calculate yarn d iam e ter. A re lationship among st fineness and filam ent d iam e te r is also repo rted . A prede te rm ined fixed value was taken fo r specific vo lum e hence expression is lim ited to yarn count in the Eng lish system fo r co tton yarn,while the mode l deve loped was app licab le to a situation only when density o f fibe r (ρfibe r) equals yarn density (ρyarn ) . A prede te rm ined specific g ravity and denie r we re cho sen to pred ict d iam e te r lim ited to po lyam ide filam ent and visco se rayon. The existing above‐m entioned re lationships we re stud ied and reviewed to identify the scope o f revision and deve lopm ent to m itig ate the lim itation in the presentwo rk.Therefo re in the present case revisions in empirical fo rmula over the commonly used expressions have beenmade fo rprediction yarn diameter from yarn density and count and in the existing relationship amongst denier and m icron irrespective o f any specific g ravity and material are proposed. The relationship in statistical context has also been exam ined and repo rted . The analysis o f exam ination reveals finer details fo r appropriate application.