Anish,
For what they're worth, here are two excerpts from a comprehensive study I did some years ago on the topic of Levitical cleansing rituals. You may be able to glean from them the information you are are looking for, and draw your own conclusions.
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While the Old Testament clearly prescribed the pouring or sprinkling of various liquids as part of many cleansing rituals, they were but two of several modes regularly employed. Here is a basic outline of the situations in which various modal actions were specifically enjoined:
Sprinkling (nazah—sprinkle; or, zarak—throw; cast): Sprinkling the ashes of a red heifer mixed with water was crucial in the purificatory process for those who had come into contact with a dead body or grave (Numbers 19:13, 18–21; cf. Hebrews 9:13). On one historical occasion the priests were also sprinkled with this mixture (Numbers 8:7), as they were once with blood and oil (Exodus 29:21). (Certain inanimate items plundered in war appear to have been treated with this special solution as well [Numbers 31:21–23]. )
The sacrificial blood of bulls and/or goats was also sometimes sprinkled on people, such as when the Mosaic covenant was inaugurated, and when the Levitical priests were consecrated (Exodus 24:8, 29:21; Leviticus 8:30; cf. Hebrews 9:13, 19; 10:22). Sprinkling the blood of a sacrificial bird mixed with water was used in the cleansing of lepers, as well as to purify buildings which diseased persons had entered, or that had been infected with various unsanitary conditions such as mildew (Leviticus 14:7, 51).
In simply quantitative terms sprinkling was most often used as a means of applying the blood of sacrificial animals (and occasionally oil) to various sacred objects and furnishings in the tabernacle and temple, such as the altar and Mercy Seat (Exodus 12:5–7, 21–22, 14:16, 27, 24:6, 29:16, 20; Leviticus 1:5, 11, 3:2, 8, 13, 4:6, 17, 5:9, 7:2, 14, 8:11, 19, 24, 30, 9:12, 18, 16:14, 15, 18, 19, 17:6; Numbers 18:17, 19:4; cf. Hebrews 9:19, 21, 11:28).
Pouring (yatsaq): Oil was actually the only fluid that was poured on a person’s torso in the course of a Levitical ritual, with such being done in the cleansing of lepers and the consecration of priests (Exodus 29:7; 40:13, 15; Leviticus 8:12, 30; 14:18, 29; 21:10). (Pouring oil was also done in anointing kings to their position, although this procedure wasn’t part of the Levitical law per se[Numbers 35:25; 1 Samuel 10:1; 2 Kings 9:3, 6; 1 Chronicles 11:13, 29:22; cf. Psalm 23:5; 45:7; 133:2; Ecclesiastes 9:8; Matthew 26:7; Mark 6:13; Luke 7:46; Hebrews 1:9; James 5:14].) In addition, washing the priests’ hands and feet with water almost certainly involved some manner of pouring (Exodus 30:17–21; 40:30–31; cf. 2 Kings 3:11)). Notably, however, no Old Testament ritual expressly involved pouring water, or a water-mixture on a person’s head or torso.
In a non-corporal context, blood was at times poured over an altar, or onto the ground after certain sacrifices had been made (Leviticus 1:15; 4:7, 18; 5:9).
Bathing (rahas - understood by many historians and virtually all Hebraists as comprehending an immersion): As we will later see, every major form of cleansing that entailed pouring or sprinkling a purificatory substance on a contaminated person—as well as some that didn’t—also required the subject to bathe themselves in water. Even rituals that may have primarily focused on the sprinkling of a sacrificial element still included a requirement for the participants to undertake such a bathing, usually as the concluding act of the larger, overall process.
Miscellaneous Procedures: A few Levitical ceremonies also involved daubing, or smearing [natan—give; put; place] blood or oil on a person’s right ear lobe, thumb, and big toe (Exodus 29:20; Leviticus 8:23, 24; 14:14, 17, 25, 28). Additionally, as part of many Levitical purifications people were also required to wash (kabas—wash; launder) their clothes (Leviticus 11:25, 28, 32, 40; 13:6, 34, 45, 54, 58; 14:8, 9, 47; 15:5, 6, 7, 8, 10, 11, 13, 17, 21, 22, 27; 16:26, 28; 17:15; Numbers 8:7, 21; 19:7, 8, 10, 19, 21; 31:24).
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In terms of purifying inanimate objects, sprinkling various substances was certainly a very common practice (e.g. Leviticus 16:14; Numbers 8:7, 19:13). We must of course balance this fact by also recalling the sweeping command in Leviticus 11:32 that, “any [unclean] article that is used for any purpose...must be put into water [bo b-mayim <> LXX; bapto eis hydor]...” (cf. Numbers 31:23).
The various modes prescribed for personal cleansings might be quantified as follows:
Sprinkling (nazah/zaraq) various substances was used in three main circumstances: [1] In the consecration of priests (e.g. Exodus 29:21), [2] to cleanse those with leprosy (Leviticus 14:7), and [3] in purifying persons who had touched a corpse or grave (Numbers 19:13).
Pouring (yatsaq) oil was involved in two of these same situations, namely: [1] In the consecration of priests (e.g. Exodus 40:15), and [2] in cleansing those with leprosy (Leviticus 14:18). In addition, pouring water was almost certainly part of the regular washing of the priests’ hands and feet (Exodus 30:21; cf. 2 Kings 3:11).
Bathing (rahas) with water was prescribed in at least seven different circumstances, including all of those previously mentioned: (1) In the consecration of priests (e.g. Exodus 29:4), (2) as part of the priests’ ongoing purifications—such as before putting on their vestments, after making certain sacrifices, and often before eating—(Leviticus 16:4, 28, 22:4–7), (3) in cleansing those who had touched a corpse or grave (Numbers 19:19), (4) in cleansing lepers (Leviticus 14:8), (5) in cleansing those with various bodily discharges (Leviticus 15:16), (6) in cleansing those who had touched a contaminated person or object (Leviticus 15:7, 26–27), and (7) in purifying those who had eaten carrion or other unclean meat (Leviticus 17:15–16).
By such an accounting it can be said that bathing was the most prominent mode by which Levitical cleansings were administered. Moreover, it was apparently the only mode involved in the remediation of every major category of religious impurity.